32300312013120 has 224 divisors, whose sum is σ = 106508646316800. Its totient is φ = 8286456397824.

The previous prime is 32300312013103. The next prime is 32300312013139. The reversal of 32300312013120 is 2131021300323.

It is a super-2 number, since 2×32300312013120² (a number of 28 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, 1947460 + ... + 8270019.

It is an arithmetic number, because the mean of its divisors is an integer number (475485028200).

Almost surely, 2^{32300312013120} is an apocalyptic number.

32300312013120 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 32300312013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254323158400).

32300312013120 is an abundant number, since it is smaller than the sum of its proper divisors (74208334303680).

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

32300312013120 is a wasteful number, since it uses less digits than its factorization.

32300312013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10217625 (or 10217615 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32300312013120 its reverse (2131021300323), we get a palindrome (34431333313443).

The spelling of 32300312013120 in words is "thirty-two trillion, three hundred billion, three hundred twelve million, thirteen thousand, one hundred twenty".