120400233021320 has 384 divisors, whose sum is σ = 323701036646400. Its totient is φ = 40167895832064.

The previous prime is 120400233021319. The next prime is 120400233021413. The reversal of 120400233021320 is 23120332004021.

It is a super-2 number, since 2×120400233021320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17646227429 + ... + 17646234251.

It is an arithmetic number, because the mean of its divisors is an integer number (842971449600).

Almost surely, 2^{120400233021320} is an apocalyptic number.

120400233021320 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 120400233021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161850518323200).

120400233021320 is an abundant number, since it is smaller than the sum of its proper divisors (203300803625080).

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

120400233021320 is a wasteful number, since it uses less digits than its factorization.

120400233021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 120400233021320 its reverse (23120332004021), we get a palindrome (143520565025341).

The spelling of 120400233021320 in words is "one hundred twenty trillion, four hundred billion, two hundred thirty-three million, twenty-one thousand, three hundred twenty".