2112122112072 has 256 divisors, whose sum is σ = 6574176000000. Its totient is φ = 551745976320.

The previous prime is 2112122112017. The next prime is 2112122112073. The reversal of 2112122112072 is 2702112212112.

It is a super-2 number, since 2×2112122112072² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2112122112073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323892172 + ... + 323898692.

It is an arithmetic number, because the mean of its divisors is an integer number (25680375000).

Almost surely, 2^{2112122112072} 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 2112122112072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287088000000).

2112122112072 is an abundant number, since it is smaller than the sum of its proper divisors (4462053887928).

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

2112122112072 is a wasteful number, since it uses less digits than its factorization.

2112122112072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10084 (or 10080 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 2112122112072 its reverse (2702112212112), we get a palindrome (4814234324184).

The spelling of 2112122112072 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, seventy-two".