331240001025120 has 384 divisors, whose sum is σ = 1209367458754560. Its totient is φ = 75363281786880.

The previous prime is 331240001025119. The next prime is 331240001025137. The reversal of 331240001025120 is 21520100042133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4694892 + ... + 26163371.

It is an arithmetic number, because the mean of its divisors is an integer number (3149394423840).

Almost surely, 2^{331240001025120} is an apocalyptic number.

331240001025120 is a gapful number since it is divisible by the number (30) 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 331240001025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604683729377280).

331240001025120 is an abundant number, since it is smaller than the sum of its proper divisors (878127457729440).

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

331240001025120 is a wasteful number, since it uses less digits than its factorization.

331240001025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30858418 (or 30858410 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 331240001025120 its reverse (21520100042133), we get a palindrome (352760101067253).

The spelling of 331240001025120 in words is "three hundred thirty-one trillion, two hundred forty billion, one million, twenty-five thousand, one hundred twenty".