121516400 has 120 divisors (see below), whose sum is σ = 313670400. Its totient is φ = 45100800.

The previous prime is 121516393. The next prime is 121516427. The reversal of 121516400 is 4615121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448265 + ... + 448535.

It is an arithmetic number, because the mean of its divisors is an integer number (2613920).

Almost surely, 2^121516400 is an apocalyptic number.

121516400 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 121516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156835200).

121516400 is an abundant number, since it is smaller than the sum of its proper divisors (192154000).

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

121516400 is a wasteful number, since it uses less digits than its factorization.

121516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 121516400 is about 11023.4477365296. The cubic root of 121516400 is about 495.3113709435.

The spelling of 121516400 in words is "one hundred twenty-one million, five hundred sixteen thousand, four hundred".