1121639855625 has 135 divisors (see below), whose sum is σ = 2106322302513. Its totient is φ = 597064122000.

The previous prime is 1121639855599. The next prime is 1121639855627. The reversal of 1121639855625 is 5265589361211.

The square root of 1121639855625 is 1059075.

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

1121639855625 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 6 + 3 + 9 + 8 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87936564681 + 1033703290944 = 296541^2 + 1016712^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1121639855625 - 2⁵ = 1121639855593 is a prime.

It is a super-3 number, since 3×1121639855625³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121639855627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2144626614 + ... + 2144627136.

Almost surely, 2^{1121639855625} is an apocalyptic number.

1121639855625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1121639855625 is the 1059075-th square number.

1121639855625 is the 529538-th centered octagonal number.

It is an amenable number.

1121639855625 is a deficient number, since it is larger than the sum of its proper divisors (984682446888).

1121639855625 is an frugal number, since it uses more digits than its factorization.

1121639855625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 531 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 1121639855625 in words is "one trillion, one hundred twenty-one billion, six hundred thirty-nine million, eight hundred fifty-five thousand, six hundred twenty-five".