331201032232122 has 128 divisors (see below), whose sum is σ = 795965831781120. Its totient is φ = 101477618657280.

The previous prime is 331201032232073. The next prime is 331201032232141. The reversal of 331201032232122 is 221232230102133.

331201032232122 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 0 + 10 + 322 + 321 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2540540913 + ... + 2540671275.

It is an arithmetic number, because the mean of its divisors is an integer number (6218483060790).

Almost surely, 2^{331201032232122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331201032232122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397982915890560).

331201032232122 is an abundant number, since it is smaller than the sum of its proper divisors (464764799548998).

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

331201032232122 is a wasteful number, since it uses less digits than its factorization.

331201032232122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145645 (or 145639 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 331201032232122 its reverse (221232230102133), we get a palindrome (552433262334255).

The spelling of 331201032232122 in words is "three hundred thirty-one trillion, two hundred one billion, thirty-two million, two hundred thirty-two thousand, one hundred twenty-two".