132122210400024 has 256 divisors, whose sum is σ = 379506532608000. Its totient is φ = 38030503311360.

The previous prime is 132122210400017. The next prime is 132122210400121. The reversal of 132122210400024 is 420004012221231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132122210399967 and 132122210400003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79185819 + ... + 80837109.

It is an arithmetic number, because the mean of its divisors is an integer number (1482447393000).

Almost surely, 2^{132122210400024} 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 132122210400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189753266304000).

132122210400024 is an abundant number, since it is smaller than the sum of its proper divisors (247384322207976).

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

132122210400024 is a wasteful number, since it uses less digits than its factorization.

132122210400024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651618 (or 1651614 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 132122210400024 its reverse (420004012221231), we get a palindrome (552126222621255).

The spelling of 132122210400024 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, two hundred ten million, four hundred thousand, twenty-four".