1216787572800 has 420 divisors, whose sum is σ = 4708014835920. Its totient is φ = 307398343680.

The previous prime is 1216787572787. The next prime is 1216787572807. The reversal of 1216787572800 is 82757876121.

1216787572800 is a `hidden beast` number, since 1 + 2 + 1 + 67 + 8 + 7 + 572 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1216787572807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2215327 + ... + 2709473.

Almost surely, 2^{1216787572800} is an apocalyptic number.

1216787572800 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 1216787572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354007417960).

1216787572800 is an abundant number, since it is smaller than the sum of its proper divisors (3491227263120).

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

1216787572800 is a wasteful number, since it uses less digits than its factorization.

1216787572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494200 (or 494176 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 1216787572800 in words is "one trillion, two hundred sixteen billion, seven hundred eighty-seven million, five hundred seventy-two thousand, eight hundred".