212938656000 has 576 divisors, whose sum is σ = 819883524096. Its totient is φ = 47975424000.

The previous prime is 212938655987. The next prime is 212938656011. The reversal of 212938656000 is 656839212.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47709769 + ... + 47714231.

It is an arithmetic number, because the mean of its divisors is an integer number (1423408896).

Almost surely, 2^212938656000 is an apocalyptic number.

212938656000 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 212938656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409941762048).

212938656000 is an abundant number, since it is smaller than the sum of its proper divisors (606944868096).

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

212938656000 is an equidigital number, since it uses as much as digits as its factorization.

212938656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 212938656000 in words is "two hundred twelve billion, nine hundred thirty-eight million, six hundred fifty-six thousand".