1001880601120 has 288 divisors, whose sum is σ = 2793447518400. Its totient is φ = 338540267520.

The previous prime is 1001880601097. The next prime is 1001880601123. The reversal of 1001880601120 is 211060881001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1001880601123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153025687 + ... + 153032233.

It is an arithmetic number, because the mean of its divisors is an integer number (9699470550).

Almost surely, 2^{1001880601120} is an apocalyptic number.

1001880601120 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 1001880601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396723759200).

1001880601120 is an abundant number, since it is smaller than the sum of its proper divisors (1791566917280).

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

1001880601120 is a wasteful number, since it uses less digits than its factorization.

1001880601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 28.

The spelling of 1001880601120 in words is "one trillion, one billion, eight hundred eighty million, six hundred one thousand, one hundred twenty".