2126122607142 has 256 divisors, whose sum is σ = 5192267857920. Its totient is φ = 642851282304.

The previous prime is 2126122607129. The next prime is 2126122607171. The reversal of 2126122607142 is 2417062216212.

2126122607142 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 1 + 2 + 2 + 607 + 1 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2126122607097 and 2126122607106.

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 127 ways as a sum of consecutive naturals, for example, 1278485403 + ... + 1278487065.

It is an arithmetic number, because the mean of its divisors is an integer number (20282296320).

Almost surely, 2^{2126122607142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126122607142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596133928960).

2126122607142 is an abundant number, since it is smaller than the sum of its proper divisors (3066145250778).

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

2126122607142 is a wasteful number, since it uses less digits than its factorization.

2126122607142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2126122607142 in words is "two trillion, one hundred twenty-six billion, one hundred twenty-two million, six hundred seven thousand, one hundred forty-two".