212421806251200 has 2520 divisors, whose sum is σ = 970454263812000. Its totient is φ = 44624933683200.

The previous prime is 212421806251147. The next prime is 212421806251217. The reversal of 212421806251200 is 2152608124212.

212421806251200 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 2 + 1 + 8 + 0 + 625 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-3 number, since 3×212421806251200³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 36949345926 + ... + 36949351674.

Almost surely, 2^{212421806251200} is an apocalyptic number.

212421806251200 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 212421806251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485227131906000).

212421806251200 is an abundant number, since it is smaller than the sum of its proper divisors (758032457560800).

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

212421806251200 is a wasteful number, since it uses less digits than its factorization.

212421806251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 212421806251200 in words is "two hundred twelve trillion, four hundred twenty-one billion, eight hundred six million, two hundred fifty-one thousand, two hundred".