120229711834761 has 27 divisors (see below), whose sum is σ = 174321259910733. Its totient is φ = 79851452111640.

The previous prime is 120229711834759. The next prime is 120229711834763. The reversal of 120229711834761 is 167438117922021.

It is a happy number.

The square root of 120229711834761 is 10964931.

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

120229711834761 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 97 + 1 + 1 + 83 + 476 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (120229711834759) and next prime (120229711834763).

It is not a de Polignac number, because 120229711834761 - 2¹ = 120229711834759 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120229711834698 and 120229711834707.

It is not an unprimeable number, because it can be changed into a prime (120229711834763) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8914482160 + ... + 8914495646.

Almost surely, 2^{120229711834761} is an apocalyptic number.

120229711834761 is the 10964931-st square number.

120229711834761 is the 5482466-th centered octagonal number.

It is an amenable number.

120229711834761 is a deficient number, since it is larger than the sum of its proper divisors (54091548075972).

120229711834761 is an frugal number, since it uses more digits than its factorization.

120229711834761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27522 (or 13761 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 120229711834761 in words is "one hundred twenty trillion, two hundred twenty-nine billion, seven hundred eleven million, eight hundred thirty-four thousand, seven hundred sixty-one".