122112220012112 has 40 divisors (see below), whose sum is σ = 258119424969120. Its totient is φ = 55501555345280.

The previous prime is 122112220012109. The next prime is 122112220012147. The reversal of 122112220012112 is 211210022211221.

It is a super-4 number, since 4×122112220012112⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22544687 + ... + 27431502.

It is an arithmetic number, because the mean of its divisors is an integer number (6452985624228).

Almost surely, 2^{122112220012112} is an apocalyptic number.

It is an amenable number.

122112220012112 is an abundant number, since it is smaller than the sum of its proper divisors (136007204957008).

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

122112220012112 is a wasteful number, since it uses less digits than its factorization.

122112220012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49990091 (or 49990085 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122112220012112 its reverse (211210022211221), we get a palindrome (333322242223333).

The spelling of 122112220012112 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty million, twelve thousand, one hundred twelve".