121780800 has 168 divisors, whose sum is σ = 444093600. Its totient is φ = 32463360.

The previous prime is 121780793. The next prime is 121780811. The reversal of 121780800 is 8087121.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 41791 + ... + 44609.

Almost surely, 2^121780800 is an apocalyptic number.

121780800 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 121780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222046800).

121780800 is an abundant number, since it is smaller than the sum of its proper divisors (322312800).

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

121780800 is a wasteful number, since it uses less digits than its factorization.

121780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 121780800 is about 11035.4338383228. The cubic root of 121780800 is about 495.6703498092.

The spelling of 121780800 in words is "one hundred twenty-one million, seven hundred eighty thousand, eight hundred".