132120221101440 has 512 divisors, whose sum is σ = 494843397834240. Its totient is φ = 29560254627840.

The previous prime is 132120221101369. The next prime is 132120221101483. The reversal of 132120221101440 is 44101122021231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132120221101440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1717883467 + ... + 1717960373.

It is an arithmetic number, because the mean of its divisors is an integer number (966491011395).

Almost surely, 2^{132120221101440} is an apocalyptic number.

132120221101440 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 132120221101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247421698917120).

132120221101440 is an abundant number, since it is smaller than the sum of its proper divisors (362723176732800).

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

132120221101440 is a wasteful number, since it uses less digits than its factorization.

132120221101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83210 (or 83198 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 132120221101440 its reverse (44101122021231), we get a palindrome (176221343122671).

The spelling of 132120221101440 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred one thousand, four hundred forty".