121758073920 has 672 divisors, whose sum is σ = 516170753280. Its totient is φ = 25719275520.

The previous prime is 121758073889. The next prime is 121758073937. The reversal of 121758073920 is 29370857121.

121758073920 is a `hidden beast` number, since 1 + 2 + 17 + 580 + 7 + 39 + 20 = 666.

121758073920 is digitally balanced in base 3, 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 (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15700764 + ... + 15708516.

It is an arithmetic number, because the mean of its divisors is an integer number (768111240).

Almost surely, 2^121758073920 is an apocalyptic number.

121758073920 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 121758073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258085376640).

121758073920 is an abundant number, since it is smaller than the sum of its proper divisors (394412679360).

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

121758073920 is a wasteful number, since it uses less digits than its factorization.

121758073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 121758073920 in words is "one hundred twenty-one billion, seven hundred fifty-eight million, seventy-three thousand, nine hundred twenty".