132211200000000 has 1152 divisors, whose sum is σ = 482296393689120. Its totient is φ = 31948800000000.

The previous prime is 132211199999969. The next prime is 132211200000007. The reversal of 132211200000000 is 2112231.

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

It is not an unprimeable number, because it can be changed into a prime (132211200000007) 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, 422399999844 + ... + 422400000156.

Almost surely, 2^{132211200000000} is an apocalyptic number.

132211200000000 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 132211200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241148196844560).

132211200000000 is an abundant number, since it is smaller than the sum of its proper divisors (350085193689120).

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

132211200000000 is an frugal number, since it uses more digits than its factorization.

132211200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 334 counting only the distinct ones).

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

Adding to 132211200000000 its reverse (2112231), we get a palindrome (132211202112231).

It can be divided in two parts, 132 and 211200000000, that multiplied together give a square (27878400000000 = 5280000²).

The spelling of 132211200000000 in words is "one hundred thirty-two trillion, two hundred eleven billion, two hundred million", and thus it is an aban number.