212704704000 has 1120 divisors, whose sum is σ = 820517233536. Its totient is φ = 54942105600.

The previous prime is 212704703951. The next prime is 212704704011. The reversal of 212704704000 is 407407212.

It is a happy number.

212704704000 is a `hidden beast` number, since 212 + 7 + 0 + 47 + 0 + 400 + 0 = 666.

It is a super-2 number, since 2×212704704000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2192831952 + ... + 2192832048.

Almost surely, 2^212704704000 is an apocalyptic number.

212704704000 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 212704704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410258616768).

212704704000 is an abundant number, since it is smaller than the sum of its proper divisors (607812529536).

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

212704704000 is an frugal number, since it uses more digits than its factorization.

212704704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 212704704000 in words is "two hundred twelve billion, seven hundred four million, seven hundred four thousand".