332121123312 has 480 divisors, whose sum is σ = 1011863361600. Its totient is φ = 93614653440.

The previous prime is 332121123307. The next prime is 332121123329. The reversal of 332121123312 is 213321121233.

It is a super-2 number, since 2×332121123312² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 853781614 + ... + 853782002.

It is an arithmetic number, because the mean of its divisors is an integer number (2108048670).

Almost surely, 2^332121123312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332121123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505931680800).

332121123312 is an abundant number, since it is smaller than the sum of its proper divisors (679742238288).

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

332121123312 is a wasteful number, since it uses less digits than its factorization.

332121123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 608 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 332121123312 its reverse (213321121233), we get a palindrome (545442244545).

The spelling of 332121123312 in words is "three hundred thirty-two billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred twelve".