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12122112122121 = 371461175970183
BaseRepresentation
bin1011000001100110011000…
…1011111101110100001001
31120220212021211120122011010
42300121212023331310021
53042102041200401441
641440453232354133
72360536144640241
oct260314613756411
946825254518133
1012122112122121
113953a602a75a1
12143941a9a5949
1369c15834a551
142dc9db648b21
151604cd535116
hexb06662fdd09

12122112122121 has 32 divisors (see below), whose sum is σ = 16435588055040. Its totient is φ = 7945669166400.

The previous prime is 12122112122093. The next prime is 12122112122137. The reversal of 12122112122121 is 12122121122121.

12122112122121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122112122121 - 25 = 12122112122089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122112122161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172686396 + ... + 172756578.

It is an arithmetic number, because the mean of its divisors is an integer number (513612126720).

Almost surely, 212122112122121 is an apocalyptic number.

It is an amenable number.

12122112122121 is a deficient number, since it is larger than the sum of its proper divisors (4313475932919).

12122112122121 is a wasteful number, since it uses less digits than its factorization.

12122112122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72477.

The product of its digits is 128, while the sum is 21.

Adding to 12122112122121 its reverse (12122121122121), we get a palindrome (24244233244242).

Subtracting 12122112122121 from its reverse (12122121122121), we obtain a square (9000000 = 30002).

The spelling of 12122112122121 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 71 213 461 1383 1759 5277 32731 70183 98193 124889 210549 374667 810899 2432697 4982993 14948979 32354363 57573829 97063089 123451897 172721487 370355691 2297159773 6891479319 8765084687 26295254061 56911324517 170733973551 4040704040707 12122112122121