12258076630800 has 4320 divisors, whose sum is σ = 58337746895232. Its totient is φ = 2159861760000.

The previous prime is 12258076630733. The next prime is 12258076630909. The reversal of 12258076630800 is 803667085221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12258076630800.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 298977478780 + ... + 298977478820.

Almost surely, 2^{12258076630800} is an apocalyptic number.

12258076630800 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 12258076630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29168873447616).

12258076630800 is an abundant number, since it is smaller than the sum of its proper divisors (46079670264432).

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

12258076630800 is a wasteful number, since it uses less digits than its factorization.

12258076630800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 12258076630800 in words is "twelve trillion, two hundred fifty-eight billion, seventy-six million, six hundred thirty thousand, eight hundred".