212122122212112 has 640 divisors, whose sum is σ = 682769252352000. Its totient is φ = 56587361757696.

The previous prime is 212122122212111. The next prime is 212122122212113. The reversal of 212122122212112 is 211212221221212.

It is an interprime number because it is at equal distance from previous prime (212122122212111) and next prime (212122122212113).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212122122212111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34894243089 + ... + 34894249167.

It is an arithmetic number, because the mean of its divisors is an integer number (1066826956800).

Almost surely, 2^{212122122212112} 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 212122122212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341384626176000).

212122122212112 is an abundant number, since it is smaller than the sum of its proper divisors (470647130139888).

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

212122122212112 is a wasteful number, since it uses less digits than its factorization.

212122122212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8300 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 212122122212112 its reverse (211212221221212), we get a palindrome (423334343433324).

The spelling of 212122122212112 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twelve".