3301112121120 has 288 divisors, whose sum is σ = 12338115701184. Its totient is φ = 797080320000.

The previous prime is 3301112121119. The next prime is 3301112121169. The reversal of 3301112121120 is 211212111033.

3301112121120 is a `hidden beast` number, since 330 + 1 + 1 + 1 + 212 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3301112121093 and 3301112121102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3560694 + ... + 4390986.

It is an arithmetic number, because the mean of its divisors is an integer number (42840679518).

Almost surely, 2^{3301112121120} is an apocalyptic number.

3301112121120 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 3301112121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169057850592).

3301112121120 is an abundant number, since it is smaller than the sum of its proper divisors (9037003580064).

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

3301112121120 is a wasteful number, since it uses less digits than its factorization.

3301112121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830576 (or 830565 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3301112121120 its reverse (211212111033), we get a palindrome (3512324232153).

The spelling of 3301112121120 in words is "three trillion, three hundred one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".