121762613025 has 81 divisors (see below), whose sum is σ = 223693669017. Its totient is φ = 63312580800.

The previous prime is 121762613023. The next prime is 121762613041. The reversal of 121762613025 is 520316267121.

The square root of 121762613025 is 348945.

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

121762613025 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 626 + 1 + 3 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7183071009 + 114579542016 = 84753^2 + 338496^2 .

It is not a de Polignac number, because 121762613025 - 2¹ = 121762613023 is a prime.

It is a super-2 number, since 2×121762613025² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121762613023) 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 80 ways as a sum of consecutive naturals, for example, 225069255 + ... + 225069795.

Almost surely, 2^121762613025 is an apocalyptic number.

121762613025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121762613025 is the 348945-th square number.

121762613025 is the 174473-rd centered octagonal number.

It is an amenable number.

121762613025 is a deficient number, since it is larger than the sum of its proper divisors (101931055992).

121762613025 is an frugal number, since it uses more digits than its factorization.

121762613025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 121762613025 by its sum of digits (36), we get a square (4383454068900 = 2093670²).

The spelling of 121762613025 in words is "one hundred twenty-one billion, seven hundred sixty-two million, six hundred thirteen thousand, twenty-five".