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12412120031 = 291496774243
BaseRepresentation
bin10111000111101000…
…11110101111011111
31012001000121000202022
423203310132233133
5200410000320111
65411350450355
7616404164603
oct134364365737
935030530668
1012412120031
11529a355543
1224a49639bb
13122a65a92c
1485a659503
154c9a2a2db
hex2e3d1ebdf

12412120031 has 16 divisors (see below), whose sum is σ = 12948444000. Its totient is φ = 11883301248.

The previous prime is 12412120027. The next prime is 12412120043. The reversal of 12412120031 is 13002121421.

It is a cyclic number.

It is not a de Polignac number, because 12412120031 - 22 = 12412120027 is a prime.

It is a super-2 number, since 2×124121200312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12412119991 and 12412120009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412120081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2923196 + ... + 2927438.

It is an arithmetic number, because the mean of its divisors is an integer number (809277750).

Almost surely, 212412120031 is an apocalyptic number.

12412120031 is a deficient number, since it is larger than the sum of its proper divisors (536323969).

12412120031 is a wasteful number, since it uses less digits than its factorization.

12412120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12412120031 its reverse (13002121421), we get a palindrome (25414241452).

The spelling of 12412120031 in words is "twelve billion, four hundred twelve million, one hundred twenty thousand, thirty-one".

Divisors: 1 29 149 677 4243 4321 19633 100873 123047 632207 2872511 2925317 18334003 83302819 428004139 12412120031