120031321021300 has 144 divisors (see below), whose sum is σ = 290206724799600. Its totient is φ = 42786551808000.

The previous prime is 120031321021277. The next prime is 120031321021349. The reversal of 120031321021300 is 3120123130021.

It can be written as a sum of positive squares in 24 ways, for example, as 57399988333284 + 62631332688016 = 7576278^2 + 7913996^2 .

It is a super-2 number, since 2×120031321021300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373106916 + ... + 373428484.

It is an arithmetic number, because the mean of its divisors is an integer number (2015324477775).

Almost surely, 2^{120031321021300} is an apocalyptic number.

120031321021300 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 120031321021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145103362399800).

120031321021300 is an abundant number, since it is smaller than the sum of its proper divisors (170175403778300).

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

120031321021300 is a wasteful number, since it uses less digits than its factorization.

120031321021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331526 (or 331519 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 120031321021300 its reverse (3120123130021), we get a palindrome (123151444151321).

The spelling of 120031321021300 in words is "one hundred twenty trillion, thirty-one billion, three hundred twenty-one million, twenty-one thousand, three hundred".