120252323351300 has 144 divisors (see below), whose sum is σ = 308536166171520. Its totient is φ = 39804213120000.

The previous prime is 120252323351261. The next prime is 120252323351309. The reversal of 120252323351300 is 3153323252021.

It is a super-2 number, since 2×120252323351300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120252323351309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239309315 + ... + 239811285.

It is an arithmetic number, because the mean of its divisors is an integer number (2142612265080).

Almost surely, 2^{120252323351300} is an apocalyptic number.

120252323351300 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 120252323351300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154268083085760).

120252323351300 is an abundant number, since it is smaller than the sum of its proper divisors (188283842820220).

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

120252323351300 is a wasteful number, since it uses less digits than its factorization.

120252323351300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513822 (or 513815 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 120252323351300 in words is "one hundred twenty trillion, two hundred fifty-two billion, three hundred twenty-three million, three hundred fifty-one thousand, three hundred".