212730312960 has 1080 divisors, whose sum is σ = 865246195968. Its totient is φ = 49816166400.

The previous prime is 212730312931. The next prime is 212730313007. The reversal of 212730312960 is 69213037212.

212730312960 is a `hidden beast` number, since 212 + 73 + 0 + 312 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 388903407 + ... + 388903953.

Almost surely, 2^212730312960 is an apocalyptic number.

212730312960 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 212730312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432623097984).

212730312960 is an abundant number, since it is smaller than the sum of its proper divisors (652515883008).

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

212730312960 is a wasteful number, since it uses less digits than its factorization.

212730312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 212730312960 in words is "two hundred twelve billion, seven hundred thirty million, three hundred twelve thousand, nine hundred sixty".