121532200 has 48 divisors (see below), whose sum is σ = 289473660. Its totient is φ = 47424000.

The previous prime is 121532149. The next prime is 121532209. The reversal of 121532200 is 2235121.

It can be written as a sum of positive squares in 6 ways, for example, as 12830724 + 108701476 = 3582^2 + 10426^2 .

It is not an unprimeable number, because it can be changed into a prime (121532209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 790 + ... + 15610.

Almost surely, 2^121532200 is an apocalyptic number.

121532200 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 121532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144736830).

121532200 is an abundant number, since it is smaller than the sum of its proper divisors (167941460).

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

121532200 is a wasteful number, since it uses less digits than its factorization.

121532200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14878 (or 14869 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 121532200 is about 11024.1643674249. The cubic root of 121532200 is about 495.3328374026.

Adding to 121532200 its reverse (2235121), we get a palindrome (123767321).

The spelling of 121532200 in words is "one hundred twenty-one million, five hundred thirty-two thousand, two hundred".