132211200 has 240 divisors, whose sum is σ = 477978336. Its totient is φ = 31948800.

The previous prime is 132211171. The next prime is 132211207. The reversal of 132211200 is 2112231.

It is a tau number, because it is divible by the number of its divisors (240).

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 (132211207) 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, 422244 + ... + 422556.

Almost surely, 2^132211200 is an apocalyptic number.

132211200 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 132211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238989168).

132211200 is an abundant number, since it is smaller than the sum of its proper divisors (345767136).

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

132211200 is a wasteful number, since it uses less digits than its factorization.

132211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

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

The square root of 132211200 is about 11498.3129197287. The cubic root of 132211200 is about 509.4357465786.

Adding to 132211200 its reverse (2112231), we get a palindrome (134323431).

It can be divided in two parts, 132 and 211200, that multiplied together give a square (27878400 = 5280²).

The spelling of 132211200 in words is "one hundred thirty-two million, two hundred eleven thousand, two hundred".