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12122112022112 = 2541139271245279
BaseRepresentation
bin1011000001100110011000…
…1011100101011001100000
31120220212021211101112222002
42300121212023211121200
53042102041134201422
641440453230303132
72360536144042541
oct260314613453140
946825254345862
1012122112022112
113953a60239444
12143941a957aa8
1369c158313b81
142dc9db6204c8
151604cd515692
hexb06662e5660

12122112022112 has 96 divisors (see below), whose sum is σ = 24714334310400. Its totient is φ = 5848997299200.

The previous prime is 12122112022109. The next prime is 12122112022117. The reversal of 12122112022112 is 21122021122121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122112022117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49299089 + ... + 49544367.

It is an arithmetic number, because the mean of its divisors is an integer number (257440982400).

Almost surely, 212122112022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122112022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357167155200).

12122112022112 is an abundant number, since it is smaller than the sum of its proper divisors (12592222288288).

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

12122112022112 is a wasteful number, since it uses less digits than its factorization.

12122112022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245740 (or 245732 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12122112022112 its reverse (21122021122121), we get a palindrome (33244133144233).

It can be divided in two parts, 1212211 and 2022112, that added together give a palindrome (3234323).

The spelling of 12122112022112 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 139 164 271 278 328 542 556 656 1084 1112 1312 2168 2224 4336 4448 5699 8672 11111 11398 22222 22796 37669 44444 45592 75338 88888 91184 150676 177776 182368 245279 301352 355552 490558 602704 981116 1205408 1544429 1962232 3088858 3924464 6177716 7848928 10056439 12355432 20112878 24710864 34093781 40225756 49421728 66470609 68187562 80451512 132941218 136375124 160903024 265882436 272750248 321806048 531764872 545500496 1063529744 1091000992 1397845021 2127059488 2725294969 2795690042 5450589938 5591380084 9239414651 10901179876 11182760168 18478829302 21802359752 22365520336 36957658604 43604719504 44731040672 73915317208 87209439008 147830634416 295661268832 378816000691 757632001382 1515264002764 3030528005528 6061056011056 12122112022112