120002261625 has 24 divisors (see below), whose sum is σ = 216324078984. Its totient is φ = 64001205600.

The previous prime is 120002261563. The next prime is 120002261641. The reversal of 120002261625 is 526162200021.

120002261625 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 22 + 616 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37525888656 + 82476372969 = 193716^2 + 287187^2 .

It is not a de Polignac number, because 120002261625 - 2⁷ = 120002261497 is a prime.

It is a super-2 number, since 2×120002261625² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53333214 + ... + 53335463.

It is an arithmetic number, because the mean of its divisors is an integer number (9013503291).

Almost surely, 2^120002261625 is an apocalyptic number.

120002261625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120002261625 is a deficient number, since it is larger than the sum of its proper divisors (96321817359).

120002261625 is a wasteful number, since it uses less digits than its factorization.

120002261625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106668698 (or 106668685 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 120002261625 its reverse (526162200021), we get a palindrome (646164461646).

The spelling of 120002261625 in words is "one hundred twenty billion, two million, two hundred sixty-one thousand, six hundred twenty-five".