12578221088400 has 180 divisors, whose sum is σ = 44288159518736. Its totient is φ = 3049265683200.

The previous prime is 12578221088341. The next prime is 12578221088413. The reversal of 12578221088400 is 488012287521.

It is a super-2 number, since 2×12578221088400² (a number of 27 digits) contains 22 as substring.

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 12578221088400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43168234 + ... + 43458633.

Almost surely, 2^{12578221088400} is an apocalyptic number.

12578221088400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12578221088400 is an abundant number, since it is smaller than the sum of its proper divisors (31709938430336).

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

12578221088400 is a wasteful number, since it uses less digits than its factorization.

12578221088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86626910 (or 86626888 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 12578221088400 in words is "twelve trillion, five hundred seventy-eight billion, two hundred twenty-one million, eighty-eight thousand, four hundred".