332013121003200 has 672 divisors, whose sum is σ = 1341473814180864. Its totient is φ = 70008176885760.

The previous prime is 332013121003147. The next prime is 332013121003219. The reversal of 332013121003200 is 2300121310233.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×332013121003200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 714809437 + ... + 715273763.

It is an arithmetic number, because the mean of its divisors is an integer number (1996240794912).

Almost surely, 2^{332013121003200} is an apocalyptic number.

332013121003200 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 332013121003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670736907090432).

332013121003200 is an abundant number, since it is smaller than the sum of its proper divisors (1009460693177664).

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

332013121003200 is a wasteful number, since it uses less digits than its factorization.

332013121003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466009 (or 465994 counting only the distinct ones).

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

Adding to 332013121003200 its reverse (2300121310233), we get a palindrome (334313242313433).

The spelling of 332013121003200 in words is "three hundred thirty-two trillion, thirteen billion, one hundred twenty-one million, three thousand, two hundred".