12904820029800 has 240 divisors, whose sum is σ = 47179318797600. Its totient is φ = 3260164982400.

The previous prime is 12904820029793. The next prime is 12904820029889. The reversal of 12904820029800 is 892002840921.

It is a happy number.

12904820029800 is a `hidden beast` number, since 1 + 2 + 90 + 482 + 0 + 0 + 2 + 9 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20655196 + ... + 21270795.

It is an arithmetic number, because the mean of its divisors is an integer number (196580494990).

Almost surely, 2^{12904820029800} is an apocalyptic number.

12904820029800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12904820029800 is an abundant number, since it is smaller than the sum of its proper divisors (34274498767800).

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

12904820029800 is a wasteful number, since it uses less digits than its factorization.

12904820029800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41926038 (or 41926020 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12904820029800 in words is "twelve trillion, nine hundred four billion, eight hundred twenty million, twenty-nine thousand, eight hundred".