12412621800 has 72 divisors (see below), whose sum is σ = 41685727590. Its totient is φ = 3310032000.

The previous prime is 12412621787. The next prime is 12412621813. The reversal of 12412621800 is 812621421.

12412621800 is a `hidden beast` number, since 1 + 24 + 12 + 621 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12412621787) and next prime (12412621813).

It can be written as a sum of positive squares in 3 ways, for example, as 12157708644 + 254913156 = 110262^2 + 15966^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3446151 + ... + 3449750.

Almost surely, 2^12412621800 is an apocalyptic number.

12412621800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412621800 is an abundant number, since it is smaller than the sum of its proper divisors (29273105790).

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

12412621800 is a wasteful number, since it uses less digits than its factorization.

12412621800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895923 (or 6895911 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12412621800 in words is "twelve billion, four hundred twelve million, six hundred twenty-one thousand, eight hundred".