121598400 has 504 divisors, whose sum is σ = 517038336. Its totient is φ = 24729600.

The previous prime is 121598387. The next prime is 121598417. The reversal of 121598400 is 4895121.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587177 + ... + 2587223.

Almost surely, 2^121598400 is an apocalyptic number.

121598400 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 121598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258519168).

121598400 is an abundant number, since it is smaller than the sum of its proper divisors (395439936).

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

121598400 is a wasteful number, since it uses less digits than its factorization.

121598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 121598400 is about 11027.1664538085. The cubic root of 121598400 is about 495.4227589262.

The spelling of 121598400 in words is "one hundred twenty-one million, five hundred ninety-eight thousand, four hundred".