132213112023200 has 144 divisors (see below), whose sum is σ = 347864314071456. Its totient is φ = 48779094912000.

The previous prime is 132213112023191. The next prime is 132213112023203. The reversal of 132213112023200 is 2320211312231.

It is a super-3 number, since 3×132213112023200³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132213112023203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8388875 + ... + 18297525.

It is an arithmetic number, because the mean of its divisors is an integer number (2415724403274).

Almost surely, 2^{132213112023200} is an apocalyptic number.

132213112023200 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 132213112023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173932157035728).

132213112023200 is an abundant number, since it is smaller than the sum of its proper divisors (215651202048256).

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

132213112023200 is a wasteful number, since it uses less digits than its factorization.

132213112023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909967 (or 9909954 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 132213112023200 its reverse (2320211312231), we get a palindrome (134533323335431).

The spelling of 132213112023200 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred twelve million, twenty-three thousand, two hundred".