32132391120 has 320 divisors, whose sum is σ = 117059174400. Its totient is φ = 8078952960.

The previous prime is 32132391107. The next prime is 32132391121. The reversal of 32132391120 is 2119323123.

32132391120 is a `hidden beast` number, since 321 + 323 + 9 + 1 + 12 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32132391121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9150165 + ... + 9153675.

It is an arithmetic number, because the mean of its divisors is an integer number (365809920).

Almost surely, 2^32132391120 is an apocalyptic number.

32132391120 is a gapful number since it is divisible by the number (30) 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 32132391120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58529587200).

32132391120 is an abundant number, since it is smaller than the sum of its proper divisors (84926783280).

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

32132391120 is a wasteful number, since it uses less digits than its factorization.

32132391120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 32132391120 in words is "thirty-two billion, one hundred thirty-two million, three hundred ninety-one thousand, one hundred twenty".