2120121211120 has 160 divisors (see below), whose sum is σ = 5434780437504. Its totient is φ = 762738048000.

The previous prime is 2120121211069. The next prime is 2120121211177. The reversal of 2120121211120 is 211121210212.

It is a super-2 number, since 2×2120121211120² (a number of 25 digits) contains 22 as substring.

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 = 2120121211094 and 2120121211103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126467859 + ... + 126484621.

Almost surely, 2^{2120121211120} is an apocalyptic number.

2120121211120 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 2120121211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717390218752).

2120121211120 is an abundant number, since it is smaller than the sum of its proper divisors (3314659226384).

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

2120121211120 is a wasteful number, since it uses less digits than its factorization.

2120121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18311 (or 18305 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2120121211120 its reverse (211121210212), we get a palindrome (2331242421332).

The spelling of 2120121211120 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".