120313325312000 has 384 divisors, whose sum is σ = 317574838788480. Its totient is φ = 45402174259200.

The previous prime is 120313325311999. The next prime is 120313325312021. The reversal of 120313325312000 is 213523313021.

It is a super-2 number, since 2×120313325312000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429684044 + ... + 429963956.

It is an arithmetic number, because the mean of its divisors is an integer number (827017809345).

Almost surely, 2^{120313325312000} is an apocalyptic number.

120313325312000 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 120313325312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158787419394240).

120313325312000 is an abundant number, since it is smaller than the sum of its proper divisors (197261513476480).

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

120313325312000 is an equidigital number, since it uses as much as digits as its factorization.

120313325312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280046 (or 280016 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 120313325312000 its reverse (213523313021), we get a palindrome (120526848625021).

The spelling of 120313325312000 in words is "one hundred twenty trillion, three hundred thirteen billion, three hundred twenty-five million, three hundred twelve thousand".