212977440000 has 1080 divisors, whose sum is σ = 855344602112. Its totient is φ = 50595840000.

The previous prime is 212977439989. The next prime is 212977440007. The reversal of 212977440000 is 44779212.

212977440000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212977440007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 580319817 + ... + 580320183.

Almost surely, 2^212977440000 is an apocalyptic number.

212977440000 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 212977440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427672301056).

212977440000 is an abundant number, since it is smaller than the sum of its proper divisors (642367162112).

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

212977440000 is a wasteful number, since it uses less digits than its factorization.

212977440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 212977440000 in words is "two hundred twelve billion, nine hundred seventy-seven million, four hundred forty thousand".