132112031100000 has 432 divisors, whose sum is σ = 504234687445776. Its totient is φ = 30197032320000.

The previous prime is 132112031099957. The next prime is 132112031100001. The reversal of 132112031100000 is 1130211231.

It is a happy number.

It is a super-2 number, since 2×132112031100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112031100001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10206394 + ... + 19193606.

It is an arithmetic number, because the mean of its divisors is an integer number (1167209924643).

Almost surely, 2^{132112031100000} is an apocalyptic number.

132112031100000 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 132112031100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252117343722888).

132112031100000 is an abundant number, since it is smaller than the sum of its proper divisors (372122656345776).

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

132112031100000 is an frugal number, since it uses more digits than its factorization.

132112031100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8987265 (or 8987230 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 132112031100000 its reverse (1130211231), we get a palindrome (132113161311231).

The spelling of 132112031100000 in words is "one hundred thirty-two trillion, one hundred twelve billion, thirty-one million, one hundred thousand".