212196124800 has 1152 divisors, whose sum is σ = 870112077120. Its totient is φ = 48771072000.

The previous prime is 212196124783. The next prime is 212196124801. The reversal of 212196124800 is 8421691212.

212196124800 is a `hidden beast` number, since 21 + 2 + 19 + 612 + 4 + 8 + 0 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (212196124801) 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, 504028590 + ... + 504029010.

Almost surely, 2^212196124800 is an apocalyptic number.

212196124800 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 212196124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435056038560).

212196124800 is an abundant number, since it is smaller than the sum of its proper divisors (657915952320).

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

212196124800 is a wasteful number, since it uses less digits than its factorization.

212196124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 212196124800 in words is "two hundred twelve billion, one hundred ninety-six million, one hundred twenty-four thousand, eight hundred".