121096800 has 324 divisors, whose sum is σ = 472743180. Its totient is φ = 29145600.

The previous prime is 121096741. The next prime is 121096849. The reversal of 121096800 is 8690121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 871131 + ... + 871269.

Almost surely, 2^121096800 is an apocalyptic number.

121096800 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 121096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236371590).

121096800 is an abundant number, since it is smaller than the sum of its proper divisors (351646380).

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

121096800 is a wasteful number, since it uses less digits than its factorization.

121096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 121096800 is about 11004.3991203518. The cubic root of 121096800 is about 494.7406048335.

The spelling of 121096800 in words is "one hundred twenty-one million, ninety-six thousand, eight hundred".