12835141920 has 72 divisors (see below), whose sum is σ = 43799926716. Its totient is φ = 3422704128.

The previous prime is 12835141919. The next prime is 12835141931. The reversal of 12835141920 is 2914153821.

12835141920 is a `hidden beast` number, since 128 + 3 + 514 + 19 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12505501584 + 329640336 = 111828^2 + 18156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4455207 + ... + 4458086.

Almost surely, 2^12835141920 is an apocalyptic number.

12835141920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12835141920 is an abundant number, since it is smaller than the sum of its proper divisors (30964784796).

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

12835141920 is a wasteful number, since it uses less digits than its factorization.

12835141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913314 (or 8913303 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12835141920 in words is "twelve billion, eight hundred thirty-five million, one hundred forty-one thousand, nine hundred twenty".