121881600 has 297 divisors, whose sum is σ = 456192373. Its totient is φ = 31088640.

The previous prime is 121881581. The next prime is 121881629. The reversal of 121881600 is 6188121.

The square root of 121881600 is 11040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 78004224 = 6624^2 + 8832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5299189 + ... + 5299211.

Almost surely, 2^121881600 is an apocalyptic number.

121881600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121881600 is the 11040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121881600

121881600 is an abundant number, since it is smaller than the sum of its proper divisors (334310773).

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

121881600 is a wasteful number, since it uses less digits than its factorization.

121881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The cubic root of 121881600 is about 495.8070703004.

It can be divided in two parts, 121 and 881600, that added together give a square (881721 = 939²).

The spelling of 121881600 in words is "one hundred twenty-one million, eight hundred eighty-one thousand, six hundred".