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12434024112 = 2432331363313
BaseRepresentation
bin10111001010010000…
…00010011010110000
31012002112210212111120
423211020002122300
5200431102232422
65413452142240
7620061314106
oct134510023260
935075725446
1012434024112
115300756394
1224b0167980
131232059923
1485d51bc76
154cb90545c
hex2e52026b0

12434024112 has 80 divisors (see below), whose sum is σ = 34599118848. Its totient is φ = 3836574720.

The previous prime is 12434024107. The next prime is 12434024117. The reversal of 12434024112 is 21142043421.

It is an interprime number because it is at equal distance from previous prime (12434024107) and next prime (12434024117).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12434024117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147433 + ... + 215880.

Almost surely, 212434024112 is an apocalyptic number.

12434024112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12434024112 is an abundant number, since it is smaller than the sum of its proper divisors (22165094736).

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

12434024112 is a wasteful number, since it uses less digits than its factorization.

12434024112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363378 (or 363372 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12434024112 its reverse (21142043421), we get a palindrome (33576067533).

The spelling of 12434024112 in words is "twelve billion, four hundred thirty-four million, twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 276 368 372 496 552 713 744 1104 1426 1488 2139 2852 4278 5704 8556 11408 17112 34224 363313 726626 1089939 1453252 2179878 2906504 4359756 5813008 8356199 8719512 11262703 16712398 17439024 22525406 25068597 33424796 33788109 45050812 50137194 66849592 67576218 90101624 100274388 133699184 135152436 180203248 200548776 259042169 270304872 401097552 518084338 540609744 777126507 1036168676 1554253014 2072337352 3108506028 4144674704 6217012056 12434024112