3511880121120 has 576 divisors, whose sum is σ = 13405817779200. Its totient is φ = 769677189120.

The previous prime is 3511880121103. The next prime is 3511880121157. The reversal of 3511880121120 is 211210881153.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79451986 + ... + 79496174.

It is an arithmetic number, because the mean of its divisors is an integer number (23273989200).

Almost surely, 2^{3511880121120} is an apocalyptic number.

3511880121120 is a gapful number since it is divisible by the number (30) 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 3511880121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702908889600).

3511880121120 is an abundant number, since it is smaller than the sum of its proper divisors (9893937658080).

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

3511880121120 is a wasteful number, since it uses less digits than its factorization.

3511880121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44361 (or 44346 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 33.

The spelling of 3511880121120 in words is "three trillion, five hundred eleven billion, eight hundred eighty million, one hundred twenty-one thousand, one hundred twenty".