1220797612800 has 864 divisors, whose sum is σ = 4559637956160. Its totient is φ = 319566643200.

The previous prime is 1220797612763. The next prime is 1220797612823. The reversal of 1220797612800 is 82167970221.

It is a happy number.

1220797612800 is a `hidden beast` number, since 1 + 2 + 20 + 7 + 9 + 7 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1220797612800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2899756590 + ... + 2899757010.

Almost surely, 2^{1220797612800} is an apocalyptic number.

1220797612800 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 1220797612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279818978080).

1220797612800 is an abundant number, since it is smaller than the sum of its proper divisors (3338840343360).

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

1220797612800 is a wasteful number, since it uses less digits than its factorization.

1220797612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1220797612800 in words is "one trillion, two hundred twenty billion, seven hundred ninety-seven million, six hundred twelve thousand, eight hundred".