132420312312400 has 240 divisors, whose sum is σ = 372251071950208. Its totient is φ = 44320711680000.

The previous prime is 132420312312397. The next prime is 132420312312403. The reversal of 132420312312400 is 4213213024231.

It is an interprime number because it is at equal distance from previous prime (132420312312397) and next prime (132420312312403).

It is a super-2 number, since 2×132420312312400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132420312312403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216535060 + ... + 217145740.

Almost surely, 2^{132420312312400} is an apocalyptic number.

132420312312400 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 132420312312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186125535975104).

132420312312400 is an abundant number, since it is smaller than the sum of its proper divisors (239830759637808).

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

132420312312400 is a wasteful number, since it uses less digits than its factorization.

132420312312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612550 (or 612539 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132420312312400 its reverse (4213213024231), we get a palindrome (136633525336631).

The spelling of 132420312312400 in words is "one hundred thirty-two trillion, four hundred twenty billion, three hundred twelve million, three hundred twelve thousand, four hundred".