220120200096 has 96 divisors (see below), whose sum is σ = 596701421568. Its totient is φ = 70977150720.

The previous prime is 220120200073. The next prime is 220120200121. The reversal of 220120200096 is 690002021022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7863501 + ... + 7891443.

It is an arithmetic number, because the mean of its divisors is an integer number (6215639808).

Almost surely, 2^220120200096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220120200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298350710784).

220120200096 is an abundant number, since it is smaller than the sum of its proper divisors (376581221472).

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

220120200096 is a wasteful number, since it uses less digits than its factorization.

220120200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30634 (or 30626 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 220120200096 in words is "two hundred twenty billion, one hundred twenty million, two hundred thousand, ninety-six".