120345499008000 has 4224 divisors, whose sum is σ = 551125135641600. Its totient is φ = 25751126016000.

The previous prime is 120345499007969. The next prime is 120345499008061. The reversal of 120345499008000 is 800994543021.

120345499008000 is a `hidden beast` number, since 1 + 20 + 3 + 4 + 549 + 9 + 0 + 0 + 80 + 0 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 363581567835 + ... + 363581568165.

Almost surely, 2^{120345499008000} is an apocalyptic number.

120345499008000 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 120345499008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275562567820800).

120345499008000 is an abundant number, since it is smaller than the sum of its proper divisors (430779636633600).

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

120345499008000 is a wasteful number, since it uses less digits than its factorization.

120345499008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 120345499008000 in words is "one hundred twenty trillion, three hundred forty-five billion, four hundred ninety-nine million, eight thousand".