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12122122202112 = 210313303538717
BaseRepresentation
bin1011000001100110011011…
…0010011010110000000000
31120220212022112112202022010
42300121212302122300000
53042102101240431422
641440454232412520
72360536326422046
oct260314662326000
946825275482263
1012122122202112
113953a65a6186a
121439422247140
1369c15a469640
142dc9dcb10396
151604ce376b0c
hexb0666c9ac00

12122122202112 has 88 divisors (see below), whose sum is σ = 34795250321776. Its totient is φ = 3729883742208.

The previous prime is 12122122202089. The next prime is 12122122202153. The reversal of 12122122202112 is 21120222122121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151729423 + ... + 151809294.

Almost surely, 212122122202112 is an apocalyptic number.

12122122202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122122202112 is an abundant number, since it is smaller than the sum of its proper divisors (22673128119664).

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

12122122202112 is a wasteful number, since it uses less digits than its factorization.

12122122202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303538753 (or 303538735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12122122202112 its reverse (21120222122121), we get a palindrome (33242344324233).

The spelling of 12122122202112 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 303538717 607077434 910616151 1214154868 1821232302 2428309736 3642464604 3946003321 4856619472 7284929208 7892006642 9713238944 11838009963 14569858416 15784013284 19426477888 23676019926 29139716832 31568026568 38852955776 47352039852 58279433664 63136053136 77705911552 94704079704 116558867328 126272106272 155411823104 189408159408 233117734656 252544212544 310823646208 378816318816 466235469312 505088425088 757632637632 932470938624 1010176850176 1515265275264 2020353700352 3030530550528 4040707400704 6061061101056 12122122202112