212993971200 has 924 divisors, whose sum is σ = 806500649628. Its totient is φ = 55738368000.

The previous prime is 212993971139. The next prime is 212993971237. The reversal of 212993971200 is 2179399212.

It can be written as a sum of positive squares in 6 ways, for example, as 6456443904 + 206537527296 = 80352^2 + 454464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1884902344 + ... + 1884902456.

Almost surely, 2^212993971200 is an apocalyptic number.

212993971200 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 212993971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403250324814).

212993971200 is an abundant number, since it is smaller than the sum of its proper divisors (593506678428).

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

212993971200 is a wasteful number, since it uses less digits than its factorization.

212993971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 212993971200 in words is "two hundred twelve billion, nine hundred ninety-three million, nine hundred seventy-one thousand, two hundred".