120593540133400 has 96 divisors (see below), whose sum is σ = 281117846926800. Its totient is φ = 48110486489600.

The previous prime is 120593540133397. The next prime is 120593540133401. The reversal of 120593540133400 is 4331045395021.

120593540133400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120593540133401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1650957279 + ... + 1651030321.

Almost surely, 2^{120593540133400} is an apocalyptic number.

120593540133400 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 120593540133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140558923463400).

120593540133400 is an abundant number, since it is smaller than the sum of its proper divisors (160524306793400).

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

120593540133400 is a wasteful number, since it uses less digits than its factorization.

120593540133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94669 (or 94660 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 120593540133400 in words is "one hundred twenty trillion, five hundred ninety-three billion, five hundred forty million, one hundred thirty-three thousand, four hundred".