10332012331120 has 160 divisors (see below), whose sum is σ = 26075606054400. Its totient is φ = 3795476923392.

The previous prime is 10332012331061. The next prime is 10332012331133. The reversal of 10332012331120 is 2113321023301.

It is a junction number, because it is equal to n+sod(n) for n = 10332012331091 and 10332012331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9010579 + ... + 10092301.

It is an arithmetic number, because the mean of its divisors is an integer number (162972537840).

Almost surely, 2^{10332012331120} is an apocalyptic number.

10332012331120 is a gapful number since it is divisible by the number (10) 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 10332012331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13037803027200).

10332012331120 is an abundant number, since it is smaller than the sum of its proper divisors (15743593723280).

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

10332012331120 is a wasteful number, since it uses less digits than its factorization.

10332012331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081967 (or 1081961 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10332012331120 its reverse (2113321023301), we get a palindrome (12445333354421).

The spelling of 10332012331120 in words is "ten trillion, three hundred thirty-two billion, twelve million, three hundred thirty-one thousand, one hundred twenty".