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12943012032 = 26353783271
BaseRepresentation
bin11000000110111011…
…01011000011000000
31020102000120010200000
430003131223003000
5203001402341112
65540153400000
7635511533646
oct140335530300
936360503600
1012943012032
115541aa1565
122612709000
1312b363aa02
148aad73196
1550b4467dc
hex30376b0c0

12943012032 has 336 divisors, whose sum is σ = 40136259072. Its totient is φ = 4131855360.

The previous prime is 12943012031. The next prime is 12943012039. The reversal of 12943012032 is 23021034921.

It is a happy number.

12943012032 is a `hidden beast` number, since 1 + 29 + 430 + 1 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12943011987 and 12943012005.

It is not an unprimeable number, because it can be changed into a prime (12943012031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47760057 + ... + 47760327.

It is an arithmetic number, because the mean of its divisors is an integer number (119453152).

Almost surely, 212943012032 is an apocalyptic number.

12943012032 is a gapful number since it is divisible by the number (12) 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 12943012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20068129536).

12943012032 is an abundant number, since it is smaller than the sum of its proper divisors (27193247040).

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

12943012032 is an equidigital number, since it uses as much as digits as its factorization.

12943012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12943012032 its reverse (23021034921), we get a palindrome (35964046953).

The spelling of 12943012032 in words is "twelve billion, nine hundred forty-three million, twelve thousand, thirty-two".