132301322120040 has 256 divisors, whose sum is σ = 399437647764480. Its totient is φ = 35055996272640.

The previous prime is 132301322120021. The next prime is 132301322120041. The reversal of 132301322120040 is 40021223103231.

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

It is not an unprimeable number, because it can be changed into a prime (132301322120041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19221458439 + ... + 19221465321.

It is an arithmetic number, because the mean of its divisors is an integer number (1560303311580).

Almost surely, 2^{132301322120040} is an apocalyptic number.

132301322120040 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 132301322120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199718823882240).

132301322120040 is an abundant number, since it is smaller than the sum of its proper divisors (267136325644440).

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

132301322120040 is a wasteful number, since it uses less digits than its factorization.

132301322120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132301322120040 its reverse (40021223103231), we get a palindrome (172322545223271).

The spelling of 132301322120040 in words is "one hundred thirty-two trillion, three hundred one billion, three hundred twenty-two million, one hundred twenty thousand, forty".