121945800 has 144 divisors (see below), whose sum is σ = 399684240. Its totient is φ = 30752640.

The previous prime is 121945799. The next prime is 121945853. The reversal of 121945800 is 8549121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216319 + ... + 216881.

It is an arithmetic number, because the mean of its divisors is an integer number (2775585).

Almost surely, 2^121945800 is an apocalyptic number.

121945800 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 121945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199842120).

121945800 is an abundant number, since it is smaller than the sum of its proper divisors (277738440).

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

121945800 is a wasteful number, since it uses less digits than its factorization.

121945800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 121945800 is about 11042.9072259075. The cubic root of 121945800 is about 495.8941089419.

The spelling of 121945800 in words is "one hundred twenty-one million, nine hundred forty-five thousand, eight hundred".