132200112000 has 1024 divisors, whose sum is σ = 503267281920. Its totient is φ = 30412800000.

The previous prime is 132200111993. The next prime is 132200112017. The reversal of 132200112000 is 211002231.

It is a super-2 number, since 2×132200112000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1308911950 + ... + 1308912050.

It is an arithmetic number, because the mean of its divisors is an integer number (491471955).

Almost surely, 2^132200112000 is an apocalyptic number.

132200112000 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 132200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251633640960).

132200112000 is an abundant number, since it is smaller than the sum of its proper divisors (371067169920).

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

132200112000 is a wasteful number, since it uses less digits than its factorization.

132200112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 132200112000 its reverse (211002231), we get a palindrome (132411114231).

The spelling of 132200112000 in words is "one hundred thirty-two billion, two hundred million, one hundred twelve thousand".