2007797100120 has 320 divisors, whose sum is σ = 7747095121920. Its totient is φ = 456865940736.

The previous prime is 2007797100097. The next prime is 2007797100143. The reversal of 2007797100120 is 210017977002.

It is an interprime number because it is at equal distance from previous prime (2007797100097) and next prime (2007797100143).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4859149 + ... + 5256131.

It is an arithmetic number, because the mean of its divisors is an integer number (24209672256).

Almost surely, 2^{2007797100120} is an apocalyptic number.

2007797100120 is a gapful number since it is divisible by the number (20) 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 2007797100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873547560960).

2007797100120 is an abundant number, since it is smaller than the sum of its proper divisors (5739298021800).

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

2007797100120 is a wasteful number, since it uses less digits than its factorization.

2007797100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397236 (or 397223 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 2007797100120 in words is "two trillion, seven billion, seven hundred ninety-seven million, one hundred thousand, one hundred twenty".