2201401797120 has 720 divisors, whose sum is σ = 8520328313640. Its totient is φ = 523395661824.

The previous prime is 2201401797061. The next prime is 2201401797143. The reversal of 2201401797120 is 217971041022.

2201401797120 is a `hidden beast` number, since 220 + 1 + 401 + 7 + 9 + 7 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1898972193024 + 302429604096 = 1378032^2 + 549936^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141388696 + ... + 141404264.

Almost surely, 2^{2201401797120} is an apocalyptic number.

2201401797120 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 2201401797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260164156820).

2201401797120 is an abundant number, since it is smaller than the sum of its proper divisors (6318926516520).

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

2201401797120 is a wasteful number, since it uses less digits than its factorization.

2201401797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15653 (or 15615 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 2201401797120 in words is "two trillion, two hundred one billion, four hundred one million, seven hundred ninety-seven thousand, one hundred twenty".