120313122000000 has 448 divisors, whose sum is σ = 410269348485120. Its totient is φ = 31216320000000.

The previous prime is 120313121999989. The next prime is 120313122000007. The reversal of 120313122000000 is 221313021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (120313122000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 221729025 + ... + 222270975.

Almost surely, 2^{120313122000000} is an apocalyptic number.

120313122000000 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 120313122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205134674242560).

120313122000000 is an abundant number, since it is smaller than the sum of its proper divisors (289956226485120).

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

120313122000000 is an frugal number, since it uses more digits than its factorization.

120313122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542035 (or 541998 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120313122000000 its reverse (221313021), we get a palindrome (120313343313021).

The spelling of 120313122000000 in words is "one hundred twenty trillion, three hundred thirteen billion, one hundred twenty-two million", and thus it is an aban number.