120077261161353 has 32 divisors (see below), whose sum is σ = 194432503864320. Its totient is φ = 72912188931840.

The previous prime is 120077261161331. The next prime is 120077261161393. The reversal of 120077261161353 is 353161162770021.

120077261161353 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 7 + 26 + 1 + 1 + 613 + 5 + 3 = 666.

It is not a de Polignac number, because 120077261161353 - 2¹² = 120077261157257 is a prime.

It is a super-2 number, since 2×120077261161353² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120077261161299 and 120077261161308.

It is not an unprimeable number, because it can be changed into a prime (120077261161393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4219441150 + ... + 4219469607.

It is an arithmetic number, because the mean of its divisors is an integer number (6076015745760).

Almost surely, 2^{120077261161353} is an apocalyptic number.

It is an amenable number.

120077261161353 is a deficient number, since it is larger than the sum of its proper divisors (74355242702967).

120077261161353 is a wasteful number, since it uses less digits than its factorization.

120077261161353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438910814 (or 8438910808 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 120077261161353 in words is "one hundred twenty trillion, seventy-seven billion, two hundred sixty-one million, one hundred sixty-one thousand, three hundred fifty-three".