121720959360 has 2048 divisors, whose sum is σ = 600116428800. Its totient is φ = 22494412800.

The previous prime is 121720959359. The next prime is 121720959401. The reversal of 121720959360 is 63959027121.

It is a happy number.

121720959360 is a `hidden beast` number, since 1 + 217 + 20 + 9 + 59 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 536215567 + ... + 536215793.

It is an arithmetic number, because the mean of its divisors is an integer number (293025600).

Almost surely, 2^121720959360 is an apocalyptic number.

121720959360 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 121720959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300058214400).

121720959360 is an abundant number, since it is smaller than the sum of its proper divisors (478395469440).

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

121720959360 is a wasteful number, since it uses less digits than its factorization.

121720959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 121720959360 in words is "one hundred twenty-one billion, seven hundred twenty million, nine hundred fifty-nine thousand, three hundred sixty".