1122027510564 has 81 divisors (see below), whose sum is σ = 2891627889969. Its totient is φ = 366842230560.

The previous prime is 1122027510553. The next prime is 1122027510623. The reversal of 1122027510564 is 4650157202211.

The square root of 1122027510564 is 1059258.

It is a perfect power (a square), and thus also a powerful number.

1122027510564 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 2 + 75 + 1 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 808866396900 + 313161113664 = 899370^2 + 559608^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 336842379 + ... + 336845709.

Almost surely, 2^{1122027510564} is an apocalyptic number.

1122027510564 is the 1059258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122027510564

1122027510564 is an abundant number, since it is smaller than the sum of its proper divisors (1769600379405).

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

1122027510564 is an frugal number, since it uses more digits than its factorization.

1122027510564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 1122027510564 by its sum of digits (36), we get a square (40392990380304 = 6355548²).

1122027510564 divided by its sum of digits (36) gives a square (31167430849 = 176543²).

The spelling of 1122027510564 in words is "one trillion, one hundred twenty-two billion, twenty-seven million, five hundred ten thousand, five hundred sixty-four".