2122124323104 has 192 divisors, whose sum is σ = 6367553337600. Its totient is φ = 687288416256.

The previous prime is 2122124323019. The next prime is 2122124323139. The reversal of 2122124323104 is 4013234212212.

2122124323104 is a `hidden beast` number, since 2 + 1 + 2 + 212 + 432 + 3 + 10 + 4 = 666.

It is a super-2 number, since 2×2122124323104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4491612 + ... + 4941540.

It is an arithmetic number, because the mean of its divisors is an integer number (33164340300).

Almost surely, 2^{2122124323104} is an apocalyptic number.

2122124323104 is a gapful number since it is divisible by the number (24) 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 2122124323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183776668800).

2122124323104 is an abundant number, since it is smaller than the sum of its proper divisors (4245429014496).

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

2122124323104 is a wasteful number, since it uses less digits than its factorization.

2122124323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450104 (or 450090 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2122124323104 its reverse (4013234212212), we get a palindrome (6135358535316).

The spelling of 2122124323104 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-four million, three hundred twenty-three thousand, one hundred four".