10214591212800 has 648 divisors, whose sum is σ = 40684906025400. Its totient is φ = 2427653652480.

The previous prime is 10214591212799. The next prime is 10214591212831. The reversal of 10214591212800 is 821219541201.

10214591212800 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 459 + 121 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6009401182464 + 4205190030336 = 2451408^2 + 2050656^2 .

It is a super-2 number, since 2×10214591212800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21480006 + ... + 21950394.

Almost surely, 2^{10214591212800} is an apocalyptic number.

10214591212800 is a gapful number since it is divisible by the number (10) 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 10214591212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342453012700).

10214591212800 is an abundant number, since it is smaller than the sum of its proper divisors (30470314812600).

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

10214591212800 is a wasteful number, since it uses less digits than its factorization.

10214591212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470463 (or 470441 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10214591212800 in words is "ten trillion, two hundred fourteen billion, five hundred ninety-one million, two hundred twelve thousand, eight hundred".