2122112335616 has 144 divisors (see below), whose sum is σ = 5235105129408. Its totient is φ = 836031283200.

The previous prime is 2122112335597. The next prime is 2122112335621. The reversal of 2122112335616 is 6165332112212.

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, 5425346 + ... + 5803326.

It is an arithmetic number, because the mean of its divisors is an integer number (36354896732).

Almost surely, 2^{2122112335616} is an apocalyptic number.

2122112335616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122112335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617552564704).

2122112335616 is an abundant number, since it is smaller than the sum of its proper divisors (3112992793792).

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

2122112335616 is a wasteful number, since it uses less digits than its factorization.

2122112335616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378258 (or 378244 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

Adding to 2122112335616 its reverse (6165332112212), we get a palindrome (8287444447828).

The spelling of 2122112335616 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, three hundred thirty-five thousand, six hundred sixteen".