120992280480 has 288 divisors, whose sum is σ = 423227960064. Its totient is φ = 31461562368.

The previous prime is 120992280469. The next prime is 120992280481. The reversal of 120992280480 is 84082299021.

It is a happy number.

120992280480 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 92 + 2 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (120992280481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19150282 + ... + 19156598.

It is an arithmetic number, because the mean of its divisors is an integer number (1469541528).

Almost surely, 2^120992280480 is an apocalyptic number.

120992280480 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 120992280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211613980032).

120992280480 is an abundant number, since it is smaller than the sum of its proper divisors (302235679584).

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

120992280480 is a wasteful number, since it uses less digits than its factorization.

120992280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 120992280480 in words is "one hundred twenty billion, nine hundred ninety-two million, two hundred eighty thousand, four hundred eighty".