120835399680 has 672 divisors, whose sum is σ = 441633254400. Its totient is φ = 30519853056.

The previous prime is 120835399673. The next prime is 120835399691. The reversal of 120835399680 is 86993538021.

120835399680 is a `hidden beast` number, since 1 + 20 + 8 + 3 + 539 + 9 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951459777 + ... + 951459903.

Almost surely, 2^120835399680 is an apocalyptic number.

120835399680 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 120835399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220816627200).

120835399680 is an abundant number, since it is smaller than the sum of its proper divisors (320797854720).

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

120835399680 is a wasteful number, since it uses less digits than its factorization.

120835399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 120835399680 in words is "one hundred twenty billion, eight hundred thirty-five million, three hundred ninety-nine thousand, six hundred eighty".