120124992000 has 1280 divisors, whose sum is σ = 482594112000. Its totient is φ = 26188185600.

The previous prime is 120124991993. The next prime is 120124992007. The reversal of 120124992000 is 299421021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120124991993) and next prime (120124992007).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (120124992007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 806207926 + ... + 806208074.

It is an arithmetic number, because the mean of its divisors is an integer number (377026650).

Almost surely, 2^120124992000 is an apocalyptic number.

120124992000 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 120124992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056000).

120124992000 is an abundant number, since it is smaller than the sum of its proper divisors (362469120000).

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

120124992000 is a wasteful number, since it uses less digits than its factorization.

120124992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 120124992000 in words is "one hundred twenty billion, one hundred twenty-four million, nine hundred ninety-two thousand".