332001120312312 has 192 divisors, whose sum is σ = 943819427376000. Its totient is φ = 97132779152640.

The previous prime is 332001120312307. The next prime is 332001120312331. The reversal of 332001120312312 is 213213021100233.

It is a super-2 number, since 2×332001120312312² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2149367739 + ... + 2149522197.

It is an arithmetic number, because the mean of its divisors is an integer number (4915726184250).

Almost surely, 2^{332001120312312} 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 332001120312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471909713688000).

332001120312312 is an abundant number, since it is smaller than the sum of its proper divisors (611818307063688).

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

332001120312312 is a wasteful number, since it uses less digits than its factorization.

332001120312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180042 (or 180027 counting only the distinct ones).

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

Adding to 332001120312312 its reverse (213213021100233), we get a palindrome (545214141412545).

The spelling of 332001120312312 in words is "three hundred thirty-two trillion, one billion, one hundred twenty million, three hundred twelve thousand, three hundred twelve".