120484869120 has 1650 divisors, whose sum is σ = 553629487026. Its totient is φ = 25035816960.

The previous prime is 120484869083. The next prime is 120484869137. The reversal of 120484869120 is 21968484021.

120484869120 is a `hidden beast` number, since 1 + 2 + 0 + 48 + 486 + 9 + 120 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96387895296 + 24096973824 = 310464^2 + 155232^2 .

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 149 ways as a sum of consecutive naturals, for example, 10953169915 + ... + 10953169925.

Almost surely, 2^120484869120 is an apocalyptic number.

120484869120 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 120484869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276814743513).

120484869120 is an abundant number, since it is smaller than the sum of its proper divisors (433144617906).

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

120484869120 is an frugal number, since it uses more digits than its factorization.

120484869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

Multiplying 120484869120 by its sum of digits (45), we get a square (5421819110400 = 2328480²).

120484869120 divided by its sum of digits (45) gives a square (2677441536 = 51744²).

The spelling of 120484869120 in words is "one hundred twenty billion, four hundred eighty-four million, eight hundred sixty-nine thousand, one hundred twenty".