212987496481200 has 600 divisors, whose sum is σ = 924982241892192. Its totient is φ = 45819158077440.

The previous prime is 212987496481157. The next prime is 212987496481247. The reversal of 212987496481200 is 2184694789212.

212987496481200 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 87 + 496 + 48 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23764939 + ... + 31476138.

Almost surely, 2^{212987496481200} is an apocalyptic number.

212987496481200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212987496481200 is an abundant number, since it is smaller than the sum of its proper divisors (711994745410992).

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

212987496481200 is a wasteful number, since it uses less digits than its factorization.

212987496481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55241131 (or 55241111 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 212987496481200 in words is "two hundred twelve trillion, nine hundred eighty-seven billion, four hundred ninety-six million, four hundred eighty-one thousand, two hundred".