120765010501653 has 32 divisors (see below), whose sum is σ = 185144524056576. Its totient is φ = 68588046366528.

The previous prime is 120765010501609. The next prime is 120765010501823. The reversal of 120765010501653 is 356105010567021.

It is not a de Polignac number, because 120765010501653 - 2¹⁴ = 120765010485269 is a prime.

It is a super-2 number, since 2×120765010501653² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120765010501153) 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, 31182250 + ... + 34840532.

It is an arithmetic number, because the mean of its divisors is an integer number (5785766376768).

Almost surely, 2^{120765010501653} is an apocalyptic number.

It is an amenable number.

120765010501653 is a deficient number, since it is larger than the sum of its proper divisors (64379513554923).

120765010501653 is a wasteful number, since it uses less digits than its factorization.

120765010501653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667873.

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 120765010501653 in words is "one hundred twenty trillion, seven hundred sixty-five billion, ten million, five hundred one thousand, six hundred fifty-three".