120752512102053 has 128 divisors (see below), whose sum is σ = 201308587200000. Its totient is φ = 71022883276800.

The previous prime is 120752512102051. The next prime is 120752512102073. The reversal of 120752512102053 is 350201215257021.

120752512102053 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 525 + 121 + 0 + 2 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 120752512102053 - 2¹ = 120752512102051 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120752512101999 and 120752512102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120752512102051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8474448073 + ... + 8474462321.

It is an arithmetic number, because the mean of its divisors is an integer number (1572723337500).

Almost surely, 2^{120752512102053} is an apocalyptic number.

120752512102053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120752512102053 is a deficient number, since it is larger than the sum of its proper divisors (80556075097947).

120752512102053 is a wasteful number, since it uses less digits than its factorization.

120752512102053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22644 (or 22638 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 120752512102053 its reverse (350201215257021), we get a palindrome (470953727359074).

The spelling of 120752512102053 in words is "one hundred twenty trillion, seven hundred fifty-two billion, five hundred twelve million, one hundred two thousand, fifty-three".