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12234055680 = 213325711431
BaseRepresentation
bin10110110010011010…
…01110000000000000
31011120121112102101100
423121031032000000
5200023404240210
65341550134400
7612112520550
oct133115160000
934517472340
1012234055680
115208895120
1224551b1400
1311cc7b3b02
14840b47160
154b90a55c0
hex2d934e000

12234055680 has 672 divisors, whose sum is σ = 52995990528. Its totient is φ = 2536243200.

The previous prime is 12234055637. The next prime is 12234055693. The reversal of 12234055680 is 8655043221.

12234055680 is a `hidden beast` number, since 1 + 2 + 23 + 4 + 0 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28385065 + ... + 28385495.

Almost surely, 212234055680 is an apocalyptic number.

12234055680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12234055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26497995264).

12234055680 is an abundant number, since it is smaller than the sum of its proper divisors (40761934848).

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

12234055680 is a wasteful number, since it uses less digits than its factorization.

12234055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12234055680 in words is "twelve billion, two hundred thirty-four million, fifty-five thousand, six hundred eighty".