132962117112 has 384 divisors, whose sum is σ = 421139712000. Its totient is φ = 38799129600.

The previous prime is 132962117089. The next prime is 132962117129. The reversal of 132962117112 is 211711269231.

It is a happy number.

132962117112 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 621 + 17 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 307071648 + ... + 307072080.

It is an arithmetic number, because the mean of its divisors is an integer number (1096718000).

Almost surely, 2^132962117112 is an apocalyptic number.

132962117112 is a gapful number since it is divisible by the number (12) 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 132962117112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210569856000).

132962117112 is an abundant number, since it is smaller than the sum of its proper divisors (288177594888).

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

132962117112 is a wasteful number, since it uses less digits than its factorization.

132962117112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 859 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The spelling of 132962117112 in words is "one hundred thirty-two billion, nine hundred sixty-two million, one hundred seventeen thousand, one hundred twelve".