132122024672 has 96 divisors (see below), whose sum is σ = 285890308704. Its totient is φ = 59606579200.

The previous prime is 132122024653. The next prime is 132122024689. The reversal of 132122024672 is 276420221231.

It is a super-3 number, since 3×132122024672³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31965518 + ... + 31969650.

It is an arithmetic number, because the mean of its divisors is an integer number (2978024049).

Almost surely, 2^132122024672 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 132122024672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142945154352).

132122024672 is an abundant number, since it is smaller than the sum of its proper divisors (153768284032).

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

132122024672 is a wasteful number, since it uses less digits than its factorization.

132122024672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 132122024672 in words is "one hundred thirty-two billion, one hundred twenty-two million, twenty-four thousand, six hundred seventy-two".