1220552511120 has 140 divisors (see below), whose sum is σ = 4254730731516. Its totient is φ = 325480654080.

The previous prime is 1220552511089. The next prime is 1220552511127. The reversal of 1220552511120 is 211152550221.

1220552511120 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 525 + 11 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 286028153856 + 934524357264 = 534816^2 + 966708^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1220552511127) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10405951 + ... + 10522590.

Almost surely, 2^{1220552511120} is an apocalyptic number.

1220552511120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220552511120 is an abundant number, since it is smaller than the sum of its proper divisors (3034178220396).

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

1220552511120 is an equidigital number, since it uses as much as digits as its factorization.

1220552511120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20928572 (or 20928551 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 1220552511120 in words is "one trillion, two hundred twenty billion, five hundred fifty-two million, five hundred eleven thousand, one hundred twenty".