120749296320 has 224 divisors, whose sum is σ = 426829118400. Its totient is φ = 32135380992.

The previous prime is 120749296309. The next prime is 120749296351. The reversal of 120749296320 is 23692947021.

120749296320 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 4 + 9 + 2 + 9 + 632 + 0 = 666.

It is a super-3 number, since 3×120749296320³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4384032 + ... + 4411488.

Almost surely, 2^120749296320 is an apocalyptic number.

120749296320 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 120749296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213414559200).

120749296320 is an abundant number, since it is smaller than the sum of its proper divisors (306079822080).

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

120749296320 is a wasteful number, since it uses less digits than its factorization.

120749296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27992 (or 27976 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 120749296320 in words is "one hundred twenty billion, seven hundred forty-nine million, two hundred ninety-six thousand, three hundred twenty".