122112000220212 has 72 divisors (see below), whose sum is σ = 317175170258856. Its totient is φ = 39583818180864.

The previous prime is 122112000220183. The next prime is 122112000220253. The reversal of 122112000220212 is 212022000211221.

It is a happy number.

122112000220212 is a `hidden beast` number, since 1 + 2 + 211 + 20 + 0 + 0 + 220 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48699936789156 + 73412063431056 = 6978534^2 + 8568084^2 .

It is a super-2 number, since 2×122112000220212² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20604523 + ... + 25860594.

Almost surely, 2^{122112000220212} is an apocalyptic number.

122112000220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122112000220212 is an abundant number, since it is smaller than the sum of its proper divisors (195063170038644).

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

122112000220212 is a wasteful number, since it uses less digits than its factorization.

122112000220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46467137 (or 46467132 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122112000220212 its reverse (212022000211221), we get a palindrome (334134000431433).

The spelling of 122112000220212 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty thousand, two hundred twelve".