2121111201120 has 192 divisors, whose sum is σ = 6944761877760. Its totient is φ = 543711356928.

The previous prime is 2121111201119. The next prime is 2121111201161. The reversal of 2121111201120 is 211021111212.

It is a happy number.

It is a super-2 number, since 2×2121111201120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121111201120.

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, 754611 + ... + 2193549.

It is an arithmetic number, because the mean of its divisors is an integer number (36170634780).

Almost surely, 2^{2121111201120} is an apocalyptic number.

2121111201120 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 2121111201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472380938880).

2121111201120 is an abundant number, since it is smaller than the sum of its proper divisors (4823650676640).

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

2121111201120 is a wasteful number, since it uses less digits than its factorization.

2121111201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439077 (or 1439069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2121111201120 its reverse (211021111212), we get a palindrome (2332132312332).

The spelling of 2121111201120 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, two hundred one thousand, one hundred twenty".