212126763600 has 120 divisors (see below), whose sum is σ = 755014185920. Its totient is φ = 56567134080.

The previous prime is 212126763599. The next prime is 212126763619. The reversal of 212126763600 is 6367621212.

212126763600 is a `hidden beast` number, since 2 + 1 + 2 + 12 + 6 + 7 + 636 + 0 + 0 = 666.

212126763600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9809884 + ... + 9831483.

Almost surely, 2^212126763600 is an apocalyptic number.

212126763600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212126763600 is an abundant number, since it is smaller than the sum of its proper divisors (542887422320).

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

212126763600 is a wasteful number, since it uses less digits than its factorization.

212126763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19641394 (or 19641377 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 212126763600 in words is "two hundred twelve billion, one hundred twenty-six million, seven hundred sixty-three thousand, six hundred".