120972787200 has 1440 divisors, whose sum is σ = 498680582400. Its totient is φ = 28904325120.

The previous prime is 120972787189. The next prime is 120972787241. The reversal of 120972787200 is 2787279021.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 1359244756 + ... + 1359244844.

It is an arithmetic number, because the mean of its divisors is an integer number (346305960).

Almost surely, 2^120972787200 is an apocalyptic number.

120972787200 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 120972787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249340291200).

120972787200 is an abundant number, since it is smaller than the sum of its proper divisors (377707795200).

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

120972787200 is an equidigital number, since it uses as much as digits as its factorization.

120972787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 120972787200 in words is "one hundred twenty billion, nine hundred seventy-two million, seven hundred eighty-seven thousand, two hundred".