2122120350042 has 128 divisors (see below), whose sum is σ = 5643097528320. Its totient is φ = 515044085760.

The previous prime is 2122120349977. The next prime is 2122120350061. The reversal of 2122120350042 is 2400530212212.

It is a junction number, because it is equal to n+sod(n) for n = 2122120349994 and 2122120350021.

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, 119778 + ... + 2063634.

It is an arithmetic number, because the mean of its divisors is an integer number (44086699440).

Almost surely, 2^{2122120350042} is an apocalyptic number.

2122120350042 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 2122120350042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821548764160).

2122120350042 is an abundant number, since it is smaller than the sum of its proper divisors (3520977178278).

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

2122120350042 is a wasteful number, since it uses less digits than its factorization.

2122120350042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944036.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2122120350042 its reverse (2400530212212), we get a palindrome (4522650562254).

The spelling of 2122120350042 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, three hundred fifty thousand, forty-two".