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12114122232 = 233539523681
BaseRepresentation
bin10110100100000111…
…01101010111111000
31011021020212011121210
423102003231113320
5144302203402412
65322023403120
7606125224422
oct132203552770
934236764553
1012114122232
115157119373
122420bb34a0
1311b09b1284
1482cc47812
154ad7b483c
hex2d20ed5f8

12114122232 has 32 divisors (see below), whose sum is σ = 30856729680. Its totient is φ = 3961850880.

The previous prime is 12114122231. The next prime is 12114122243. The reversal of 12114122232 is 23222141121.

It is a happy number.

It is a super-3 number, since 3×121141222323 (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12114122199 and 12114122208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114122231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4760569 + ... + 4763112.

Almost surely, 212114122232 is an apocalyptic number.

12114122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12114122232 is an abundant number, since it is smaller than the sum of its proper divisors (18742607448).

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

12114122232 is a wasteful number, since it uses less digits than its factorization.

12114122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9523743 (or 9523739 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 12114122232 its reverse (23222141121), we get a palindrome (35336263353).

The spelling of 12114122232 in words is "twelve billion, one hundred fourteen million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 9523681 19047362 28571043 38094724 57142086 76189448 114284172 228568344 504755093 1009510186 1514265279 2019020372 3028530558 4038040744 6057061116 12114122232