121945895280 has 360 divisors, whose sum is σ = 463947095664. Its totient is φ = 29561241600.

The previous prime is 121945895251. The next prime is 121945895287. The reversal of 121945895280 is 82598549121.

121945895280 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 4 + 589 + 52 + 8 + 0 = 666.

121945895280 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121945895287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5763120 + ... + 5784240.

Almost surely, 2^121945895280 is an apocalyptic number.

121945895280 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 121945895280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231973547832).

121945895280 is an abundant number, since it is smaller than the sum of its proper divisors (342001200384).

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

121945895280 is an equidigital number, since it uses as much as digits as its factorization.

121945895280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21169 (or 21142 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 121945895280 in words is "one hundred twenty-one billion, nine hundred forty-five million, eight hundred ninety-five thousand, two hundred eighty".