2122134140224 has 112 divisors (see below), whose sum is σ = 4882012892800. Its totient is φ = 896404340736.

The previous prime is 2122134140213. The next prime is 2122134140249. The reversal of 2122134140224 is 4220414312212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2122134140192 and 2122134140201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48674467 + ... + 48718045.

Almost surely, 2^{2122134140224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122134140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441006446400).

2122134140224 is an abundant number, since it is smaller than the sum of its proper divisors (2759878752576).

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

2122134140224 is a wasteful number, since it uses less digits than its factorization.

2122134140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45160 (or 45150 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2122134140224 its reverse (4220414312212), we get a palindrome (6342548452436).

The spelling of 2122134140224 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-four million, one hundred forty thousand, two hundred twenty-four".