1121372984601 has 45 divisors (see below), whose sum is σ = 1693981436301. Its totient is φ = 739265004288.

The previous prime is 1121372984593. The next prime is 1121372984717. The reversal of 1121372984601 is 1064892731211.

The square root of 1121372984601 is 1058949.

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

1121372984601 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 37 + 2 + 9 + 8 + 4 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 392500997001 + 728871987600 = 626499^2 + 853740^2 .

It is not a de Polignac number, because 1121372984601 - 2³ = 1121372984593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121372984101) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 924461871 + ... + 924463083.

Almost surely, 2^{1121372984601} is an apocalyptic number.

1121372984601 is the 1058949-th square number.

1121372984601 is the 529475-th centered octagonal number.

It is an amenable number.

1121372984601 is a deficient number, since it is larger than the sum of its proper divisors (572608451700).

1121372984601 is an frugal number, since it uses more digits than its factorization.

1121372984601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1121372984601 in words is "one trillion, one hundred twenty-one billion, three hundred seventy-two million, nine hundred eighty-four thousand, six hundred one".