121396800 has 168 divisors, whose sum is σ = 455306176. Its totient is φ = 27740160.

The previous prime is 121396799. The next prime is 121396811. The reversal of 121396800 is 8693121.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-5 number, since 5×121396800⁵ (a number of 42 digits) contains 55555 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31794 + ... + 35406.

Almost surely, 2^121396800 is an apocalyptic number.

121396800 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 121396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227653088).

121396800 is an abundant number, since it is smaller than the sum of its proper divisors (333909376).

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

121396800 is a wasteful number, since it uses less digits than its factorization.

121396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 121396800 is about 11018.0216009953. The cubic root of 121396800 is about 495.1488176157.

The spelling of 121396800 in words is "one hundred twenty-one million, three hundred ninety-six thousand, eight hundred".