120736972800 has 684 divisors, whose sum is σ = 456381347760. Its totient is φ = 30450647040.

The previous prime is 120736972789. The next prime is 120736972817. The reversal of 120736972800 is 8279637021.

120736972800 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 369 + 7 + 280 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1356595156 + ... + 1356595244.

Almost surely, 2^120736972800 is an apocalyptic number.

120736972800 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 120736972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228190673880).

120736972800 is an abundant number, since it is smaller than the sum of its proper divisors (335644374960).

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

120736972800 is an frugal number, since it uses more digits than its factorization.

120736972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 120736972800 in words is "one hundred twenty billion, seven hundred thirty-six million, nine hundred seventy-two thousand, eight hundred".