120523454053100 has 144 divisors (see below), whose sum is σ = 317007019627200. Its totient is φ = 38826888192000.

The previous prime is 120523454053063. The next prime is 120523454053111. The reversal of 120523454053100 is 1350454325021.

It is a super-2 number, since 2×120523454053100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274075 + ... + 15577874.

It is an arithmetic number, because the mean of its divisors is an integer number (2201437636300).

Almost surely, 2^{120523454053100} is an apocalyptic number.

120523454053100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120523454053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158503509813600).

120523454053100 is an abundant number, since it is smaller than the sum of its proper divisors (196483565574100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120523454053100 is a wasteful number, since it uses less digits than its factorization.

120523454053100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16852588 (or 16852581 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 120523454053100 in words is "one hundred twenty trillion, five hundred twenty-three billion, four hundred fifty-four million, fifty-three thousand, one hundred".