332031001200000 has 384 divisors, whose sum is σ = 1103060164631040. Its totient is φ = 88486659840000.

The previous prime is 332031001199969. The next prime is 332031001200001. The reversal of 332031001200000 is 2100130233.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×332031001200000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332031001200001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952314969 + ... + 1952485031.

It is an arithmetic number, because the mean of its divisors is an integer number (2872552512060).

Almost surely, 2^{332031001200000} is an apocalyptic number.

332031001200000 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 332031001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551530082315520).

332031001200000 is an abundant number, since it is smaller than the sum of its proper divisors (771029163431040).

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

332031001200000 is an equidigital number, since it uses as much as digits as its factorization.

332031001200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171732 (or 171700 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 332031001200000 its reverse (2100130233), we get a palindrome (332033101330233).

The spelling of 332031001200000 in words is "three hundred thirty-two trillion, thirty-one billion, one million, two hundred thousand".