2301121111120 has 160 divisors (see below), whose sum is σ = 6102314426880. Its totient is φ = 799437496320.

The previous prime is 2301121111117. The next prime is 2301121111169. The reversal of 2301121111120 is 211111211032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2301121111094 and 2301121111103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69271315 + ... + 69304525.

It is an arithmetic number, because the mean of its divisors is an integer number (38139465168).

Almost surely, 2^{2301121111120} is an apocalyptic number.

2301121111120 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 2301121111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051157213440).

2301121111120 is an abundant number, since it is smaller than the sum of its proper divisors (3801193315760).

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

2301121111120 is a wasteful number, since it uses less digits than its factorization.

2301121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37173 (or 37167 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2301121111120 its reverse (211111211032), we get a palindrome (2512232322152).

The spelling of 2301121111120 in words is "two trillion, three hundred one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".