2133122113122 has 384 divisors, whose sum is σ = 5847502897152. Its totient is φ = 503687808000.

The previous prime is 2133122113099. The next prime is 2133122113139. The reversal of 2133122113122 is 2213112213312.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2133122113092 and 2133122113101.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1758550188 + ... + 1758551400.

It is an arithmetic number, because the mean of its divisors is an integer number (15227872128).

Almost surely, 2^{2133122113122} is an apocalyptic number.

2133122113122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133122113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923751448576).

2133122113122 is an abundant number, since it is smaller than the sum of its proper divisors (3714380784030).

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

2133122113122 is a wasteful number, since it uses less digits than its factorization.

2133122113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1573 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 2133122113122 its reverse (2213112213312), we get a palindrome (4346234326434).

The spelling of 2133122113122 in words is "two trillion, one hundred thirty-three billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred twenty-two".