117920126025 has 135 divisors (see below), whose sum is σ = 236927154981. Its totient is φ = 57954087360.

The previous prime is 117920126011. The next prime is 117920126041. The reversal of 117920126025 is 520621029711.

The square root of 117920126025 is 343395.

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

117920126025 is a `hidden beast` number, since 1 + 17 + 9 + 20 + 12 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30394086921 + 87526039104 = 174339^2 + 295848^2 .

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

It is not a de Polignac number, because 117920126025 - 2¹⁷ = 117919994953 is a prime.

It is a super-2 number, since 2×117920126025² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 200885782 + ... + 200886368.

Almost surely, 2^117920126025 is an apocalyptic number.

117920126025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117920126025 is the 343395-th square number.

117920126025 is the 171698-th centered octagonal number.

It is an amenable number.

117920126025 is an abundant number, since it is smaller than the sum of its proper divisors (119007028956).

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

117920126025 is an frugal number, since it uses more digits than its factorization.

117920126025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 117920126025 by its sum of digits (36), we get a square (4245124536900 = 2060370²).

The spelling of 117920126025 in words is "one hundred seventeen billion, nine hundred twenty million, one hundred twenty-six thousand, twenty-five".