212732697600 has 462 divisors, whose sum is σ = 790686911400. Its totient is φ = 56723742720.

The previous prime is 212732697577. The next prime is 212732697631. The reversal of 212732697600 is 6796237212.

212732697600 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 32 + 6 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18656701 + ... + 18668099.

Almost surely, 2^212732697600 is an apocalyptic number.

212732697600 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 212732697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395343455700).

212732697600 is an abundant number, since it is smaller than the sum of its proper divisors (577954213800).

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

212732697600 is an equidigital number, since it uses as much as digits as its factorization.

212732697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11447 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 212732697600 in words is "two hundred twelve billion, seven hundred thirty-two million, six hundred ninety-seven thousand, six hundred".