120722691600 has 1680 divisors, whose sum is σ = 544513363200. Its totient is φ = 25604812800.

The previous prime is 120722691599. The next prime is 120722691619. The reversal of 120722691600 is 6196227021.

120722691600 is a `hidden beast` number, since 1 + 20 + 7 + 2 + 26 + 9 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1700319565 + ... + 1700319635.

Almost surely, 2^120722691600 is an apocalyptic number.

120722691600 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 120722691600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272256681600).

120722691600 is an abundant number, since it is smaller than the sum of its proper divisors (423790671600).

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

120722691600 is an equidigital number, since it uses as much as digits as its factorization.

120722691600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 120722691600 in words is "one hundred twenty billion, seven hundred twenty-two million, six hundred ninety-one thousand, six hundred".