212856422400 has 720 divisors, whose sum is σ = 823998302400. Its totient is φ = 53721169920.

The previous prime is 212856422399. The next prime is 212856422461. The reversal of 212856422400 is 4224658212.

212856422400 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 5 + 642 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210124294 + ... + 210125306.

Almost surely, 2^212856422400 is an apocalyptic number.

212856422400 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 212856422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411999151200).

212856422400 is an abundant number, since it is smaller than the sum of its proper divisors (611141880000).

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

212856422400 is a wasteful number, since it uses less digits than its factorization.

212856422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 212856422400 in words is "two hundred twelve billion, eight hundred fifty-six million, four hundred twenty-two thousand, four hundred".