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122020021012212 = 2232171193325151407
BaseRepresentation
bin11011101111101000000000…
…000000100000011011110100
3121000001000000001200200111100
4123233220000000200123310
5111443134000334342322
61111303120201410100
734462440604402221
oct3357500000403364
9530030001620440
10122020021012212
1135974444895884
121182836a199930
135311591814a1b
14221bb2c914948
15e1904a14edac
hex6efa000206f4

122020021012212 has 144 divisors (see below), whose sum is σ = 326963647325952. Its totient is φ = 38236194048000.

The previous prime is 122020021012199. The next prime is 122020021012277. The reversal of 122020021012212 is 212210120020221.

It is a happy number.

122020021012212 is a `hidden beast` number, since 1 + 220 + 20 + 0 + 210 + 1 + 2 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2373581413 + ... + 2373632819.

It is an arithmetic number, because the mean of its divisors is an integer number (2270580884208).

Almost surely, 2122020021012212 is an apocalyptic number.

122020021012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122020021012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163481823662976).

122020021012212 is an abundant number, since it is smaller than the sum of its proper divisors (204943626313740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122020021012212 is a wasteful number, since it uses less digits than its factorization.

122020021012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55878 (or 55873 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122020021012212 its reverse (212210120020221), we get a palindrome (334230141032433).

The spelling of 122020021012212 in words is "one hundred twenty-two trillion, twenty billion, twenty-one million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1193 2386 3251 3579 4772 6502 7158 9753 10737 13004 14316 19506 20281 21474 29259 39012 40562 42948 51407 55267 58518 60843 81124 102814 110534 117036 121686 154221 165801 182529 205628 221068 243372 308442 331602 365058 462663 497403 616884 663204 730116 873919 925326 994806 1747838 1850652 1989612 2621757 3495676 3878443 5243514 7756886 7865271 10487028 11635329 15513772 15730542 23270658 31461084 34905987 46541316 61328551 65933531 69811974 122657102 131867062 139623948 167124157 183985653 197800593 245314204 263734124 334248314 367971306 395601186 501372471 551956959 593401779 668496628 735942612 791202372 1002744942 1042585367 1103913918 1186803558 1504117413 2005489884 2085170734 2207827836 2373607116 2841110669 3008234826 3127756101 4170341468 5682221338 6016469652 6255512202 8523332007 9383268303 11364442676 12511024404 17046664014 18766536606 25569996021 34093328028 37533073212 51139992042 102279984084 199379119301 398758238602 598137357903 797516477204 1196274715806 1794412073709 2392549431612 3389445028117 3588824147418 6778890056234 7177648294836 10168335084351 13557780112468 20336670168702 30505005253053 40673340337404 61010010506106 122020021012212