2121232110120 has 192 divisors, whose sum is σ = 7027342583040. Its totient is φ = 554826048000.

The previous prime is 2121232110079. The next prime is 2121232110163. The reversal of 2121232110120 is 210112321212.

2121232110120 is a `hidden beast` number, since 2 + 1 + 212 + 321 + 10 + 120 = 666.

It is a super-5 number, since 5×2121232110120⁵ (a number of 63 digits) contains 55555 as substring.

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 = 2121232110093 and 2121232110102.

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, 3617905 + ... + 4163135.

It is an arithmetic number, because the mean of its divisors is an integer number (36600742620).

Almost surely, 2^{2121232110120} is an apocalyptic number.

2121232110120 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 2121232110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513671291520).

2121232110120 is an abundant number, since it is smaller than the sum of its proper divisors (4906110472920).

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

2121232110120 is a wasteful number, since it uses less digits than its factorization.

2121232110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545456 (or 545449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2121232110120 its reverse (210112321212), we get a palindrome (2331344431332).

The spelling of 2121232110120 in words is "two trillion, one hundred twenty-one billion, two hundred thirty-two million, one hundred ten thousand, one hundred twenty".