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12001222121022 = 235239217947417
BaseRepresentation
bin1010111010100100000010…
…0101001101011000111110
31120111022020210201021200000
42232221000211031120332
53033112000330333042
641305141344215130
72346026320612401
oct256510045153076
946438223637600
1012001222121022
11390776501a482
121419b0100a4a6
1369093095aa14
142d6c10029d38
1515c2a537a74c
hexaea4094d63e

12001222121022 has 96 divisors (see below), whose sum is σ = 27091534579200. Its totient is φ = 3981757082688.

The previous prime is 12001222121011. The next prime is 12001222121027. The reversal of 12001222121022 is 22012122210021.

It is a happy number.

12001222121022 is a `hidden beast` number, since 1 + 200 + 12 + 221 + 210 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12001222120986 and 12001222121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001222121027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253075858 + ... + 253123274.

It is an arithmetic number, because the mean of its divisors is an integer number (282203485200).

Almost surely, 212001222121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001222121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545767289600).

12001222121022 is an abundant number, since it is smaller than the sum of its proper divisors (15090312458178).

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

12001222121022 is a wasteful number, since it uses less digits than its factorization.

12001222121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49852 (or 49840 counting only the distinct ones).

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

Adding to 12001222121022 its reverse (22012122210021), we get a palindrome (34013344331043).

The spelling of 12001222121022 in words is "twelve trillion, one billion, two hundred twenty-two million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 243 478 486 717 1434 2151 2179 4302 4358 6453 6537 12906 13074 19359 19611 38718 39222 47417 58077 58833 94834 116154 117666 142251 176499 284502 352998 426753 520781 529497 853506 1041562 1058994 1280259 1562343 2560518 3124686 3840777 4687029 7681554 9374058 11332663 11522331 14061087 22665326 23044662 28122174 33997989 42183261 67995978 84366522 101993967 103321643 126549783 203987934 206643286 253099566 305981901 309964929 611963802 619929858 917945703 929894787 1835891406 1859789574 2753837109 2789684361 5507674218 5579368722 8369053083 16738106166 24693872677 25107159249 49387745354 50214318498 74081618031 148163236062 222244854093 444489708186 666734562279 1333469124558 2000203686837 4000407373674 6000611060511 12001222121022