132200121300 has 144 divisors (see below), whose sum is σ = 412203325632. Its totient is φ = 32519347200.

The previous prime is 132200121233. The next prime is 132200121373. The reversal of 132200121300 is 3121002231.

It is a super-3 number, since 3×132200121300³ (a number of 34 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132200121300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6116112 + ... + 6137688.

Almost surely, 2^132200121300 is an apocalyptic number.

132200121300 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 132200121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206101662816).

132200121300 is an abundant number, since it is smaller than the sum of its proper divisors (280003204332).

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

132200121300 is a wasteful number, since it uses less digits than its factorization.

132200121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23178 (or 23171 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132200121300 its reverse (3121002231), we get a palindrome (135321123531).

The spelling of 132200121300 in words is "one hundred thirty-two billion, two hundred million, one hundred twenty-one thousand, three hundred".