212538251700 has 576 divisors, whose sum is σ = 740322616320. Its totient is φ = 52115374080.

The previous prime is 212538251689. The next prime is 212538251767. The reversal of 212538251700 is 7152835212.

212538251700 is a `hidden beast` number, since 2 + 1 + 2 + 538 + 2 + 51 + 70 + 0 = 666.

212538251700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 459045669 + ... + 459046131.

It is an arithmetic number, because the mean of its divisors is an integer number (1285282320).

Almost surely, 2^212538251700 is an apocalyptic number.

212538251700 is a gapful number since it is divisible by the number (20) 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 212538251700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370161308160).

212538251700 is an abundant number, since it is smaller than the sum of its proper divisors (527784364620).

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

212538251700 is a wasteful number, since it uses less digits than its factorization.

212538251700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 212538251700 in words is "two hundred twelve billion, five hundred thirty-eight million, two hundred fifty-one thousand, seven hundred".