121646400 has 84 divisors (see below), whose sum is σ = 399117312. Its totient is φ = 32437760.

The previous prime is 121646389. The next prime is 121646401. The reversal of 121646400 is 4646121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121646401) 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, 7872 + ... + 17471.

Almost surely, 2^121646400 is an apocalyptic number.

121646400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121646400 is an abundant number, since it is smaller than the sum of its proper divisors (277470912).

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

121646400 is a wasteful number, since it uses less digits than its factorization.

121646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25368 (or 25353 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 121646400 is about 11029.3426821366. The cubic root of 121646400 is about 495.4879384134.

The spelling of 121646400 in words is "one hundred twenty-one million, six hundred forty-six thousand, four hundred".