12677472040200 has 288 divisors, whose sum is σ = 43842458798880. Its totient is φ = 3027454848000.

The previous prime is 12677472040193. The next prime is 12677472040249. The reversal of 12677472040200 is 204027477621.

12677472040200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3561060 + ... + 6167340.

Almost surely, 2^{12677472040200} is an apocalyptic number.

12677472040200 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 12677472040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21921229399440).

12677472040200 is an abundant number, since it is smaller than the sum of its proper divisors (31164986758680).

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

12677472040200 is a wasteful number, since it uses less digits than its factorization.

12677472040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606389 (or 2606369 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 12677472040200 in words is "twelve trillion, six hundred seventy-seven billion, four hundred seventy-two million, forty thousand, two hundred".