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12234172944 = 24371747199229
BaseRepresentation
bin10110110010011011…
…01010101000010000
31011120121202101020110
423121031222220100
5200023422013234
65341552441320
7612113516460
oct133115525020
934517671213
1012234172944
115208965234
122455249240
1311cc8252b6
14840b77ba0
154b90ca1e9
hex2d936aa10

12234172944 has 320 divisors, whose sum is σ = 39426048000. Its totient is φ = 3189694464.

The previous prime is 12234172931. The next prime is 12234172967. The reversal of 12234172944 is 44927143221.

Its product of digits (96768) is a multiple of the sum of its prime divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53424222 + ... + 53424450.

It is an arithmetic number, because the mean of its divisors is an integer number (123206400).

Almost surely, 212234172944 is an apocalyptic number.

12234172944 is a gapful number since it is divisible by the number (14) 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 12234172944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713024000).

12234172944 is an abundant number, since it is smaller than the sum of its proper divisors (27191875056).

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

12234172944 is a wasteful number, since it uses less digits than its factorization.

12234172944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The spelling of 12234172944 in words is "twelve billion, two hundred thirty-four million, one hundred seventy-two thousand, nine hundred forty-four".