212988297600 has 1152 divisors, whose sum is σ = 874735680000. Its totient is φ = 48910417920.

The previous prime is 212988297593. The next prime is 212988297601. The reversal of 212988297600 is 6792889212.

212988297600 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 8 + 8 + 29 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212988297601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 561974211 + ... + 561974589.

Almost surely, 2^212988297600 is an apocalyptic number.

212988297600 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 212988297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437367840000).

212988297600 is an abundant number, since it is smaller than the sum of its proper divisors (661747382400).

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

212988297600 is a wasteful number, since it uses less digits than its factorization.

212988297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 212988297600 in words is "two hundred twelve billion, nine hundred eighty-eight million, two hundred ninety-seven thousand, six hundred".