2122111212120 has 256 divisors, whose sum is σ = 7150809600000. Its totient is φ = 559748302848.

The previous prime is 2122111212119. The next prime is 2122111212157. The reversal of 2122111212120 is 212121112212.

2122111212120 is a `hidden beast` number, since 212 + 211 + 121 + 2 + 120 = 666.

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 = 2122111212093 and 2122111212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60880537 + ... + 60915383.

It is an arithmetic number, because the mean of its divisors is an integer number (27932850000).

Almost surely, 2^{2122111212120} is an apocalyptic number.

2122111212120 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 2122111212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575404800000).

2122111212120 is an abundant number, since it is smaller than the sum of its proper divisors (5028698387880).

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

2122111212120 is a wasteful number, since it uses less digits than its factorization.

2122111212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35479 (or 35469 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2122111212120 its reverse (212121112212), we get a palindrome (2334232324332).

The spelling of 2122111212120 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".