120444420096 has 1216 divisors, whose sum is σ = 507342044160. Its totient is φ = 27179089920.

The previous prime is 120444420071. The next prime is 120444420101. The reversal of 120444420096 is 690024444021.

It is a happy number.

120444420096 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 444 + 200 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120444420096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7084965880 + ... + 7084965896.

Almost surely, 2^120444420096 is an apocalyptic number.

120444420096 is a gapful number since it is divisible by the number (16) 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 120444420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253671022080).

120444420096 is an abundant number, since it is smaller than the sum of its proper divisors (386897624064).

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

120444420096 is an equidigital number, since it uses as much as digits as its factorization.

120444420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 120444420096 in words is "one hundred twenty billion, four hundred forty-four million, four hundred twenty thousand, ninety-six".