121862400 has 216 divisors, whose sum is σ = 439492704. Its totient is φ = 29491200.

The previous prime is 121862383. The next prime is 121862401. The reversal of 121862400 is 4268121.

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

It is not an unprimeable number, because it can be changed into a prime (121862401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 210912 + ... + 211488.

Almost surely, 2^121862400 is an apocalyptic number.

121862400 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 121862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219746352).

121862400 is an abundant number, since it is smaller than the sum of its proper divisors (317630304).

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

121862400 is a wasteful number, since it uses less digits than its factorization.

121862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 121862400 is about 11039.1304005343. The cubic root of 121862400 is about 495.7810341153.

The spelling of 121862400 in words is "one hundred twenty-one million, eight hundred sixty-two thousand, four hundred".