3121100011120 has 320 divisors, whose sum is σ = 9248544055296. Its totient is φ = 952875601920.

The previous prime is 3121100011093. The next prime is 3121100011223. The reversal of 3121100011120 is 211100011213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3121100011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71518747 + ... + 71562373.

Almost surely, 2^{3121100011120} 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 3121100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624272027648).

3121100011120 is an abundant number, since it is smaller than the sum of its proper divisors (6127444044176).

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

3121100011120 is a wasteful number, since it uses less digits than its factorization.

3121100011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44008 (or 44002 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 3121100011120 its reverse (211100011213), we get a palindrome (3332200022333).

The spelling of 3121100011120 in words is "three trillion, one hundred twenty-one billion, one hundred million, eleven thousand, one hundred twenty".