121258400 has 36 divisors (see below), whose sum is σ = 296024022. Its totient is φ = 48503040.

The previous prime is 121258373. The next prime is 121258421. The reversal of 121258400 is 4852121.

It can be written as a sum of positive squares in 3 ways, for example, as 88585744 + 32672656 = 9412^2 + 5716^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74987 + ... + 76586.

Almost surely, 2^121258400 is an apocalyptic number.

121258400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121258400 is an abundant number, since it is smaller than the sum of its proper divisors (174765622).

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

121258400 is a wasteful number, since it uses less digits than its factorization.

121258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151593 (or 151580 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 121258400 is about 11011.7391905185. The cubic root of 121258400 is about 494.9605791142.

The spelling of 121258400 in words is "one hundred twenty-one million, two hundred fifty-eight thousand, four hundred".