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12235233920 = 2757131911057
BaseRepresentation
bin10110110010100011…
…01101101010000000
31011120200202021121212
423121101231222000
5200024204441140
65342031305252
7612125525630
oct133121555200
934520667555
1012235233920
11520951a378
12245567b228
1311ccb071b0
14840d726c0
154b9239765
hex2d946da80

12235233920 has 256 divisors, whose sum is σ = 37897977600. Its totient is φ = 3668115456.

The previous prime is 12235233919. The next prime is 12235233979. The reversal of 12235233920 is 2933253221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101032 + ... + 1112088.

It is an arithmetic number, because the mean of its divisors is an integer number (148038975).

Almost surely, 212235233920 is an apocalyptic number.

12235233920 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 12235233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18948988800).

12235233920 is an abundant number, since it is smaller than the sum of its proper divisors (25662743680).

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

12235233920 is a wasteful number, since it uses less digits than its factorization.

12235233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11115 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 12235233920 in words is "twelve billion, two hundred thirty-five million, two hundred thirty-three thousand, nine hundred twenty".