212047215919200 has 2880 divisors, whose sum is σ = 844106103751680. Its totient is φ = 51668695203840.

The previous prime is 212047215919129. The next prime is 212047215919229. The reversal of 212047215919200 is 2919512740212.

212047215919200 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 472 + 1 + 5 + 91 + 92 + 0 + 0 = 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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 806263178269 + ... + 806263178531.

It is an arithmetic number, because the mean of its divisors is an integer number (293092397136).

Almost surely, 2^{212047215919200} is an apocalyptic number.

212047215919200 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 212047215919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422053051875840).

212047215919200 is an abundant number, since it is smaller than the sum of its proper divisors (632058887832480).

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

212047215919200 is a wasteful number, since it uses less digits than its factorization.

212047215919200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 212047215919200 in words is "two hundred twelve trillion, forty-seven billion, two hundred fifteen million, nine hundred nineteen thousand, two hundred".