122111121100212 has 72 divisors (see below), whose sum is σ = 317014401476136. Its totient is φ = 39603332415744.

The previous prime is 122111121100211. The next prime is 122111121100343. The reversal of 122111121100212 is 212001121111221.

It is a happy number.

122111121100212 is a `hidden beast` number, since 1 + 221 + 11 + 121 + 100 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33744992193936 + 88366128906276 = 5809044^2 + 9400326^2 .

It is a super-2 number, since 2×122111121100212² (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 not an unprimeable number, because it can be changed into a prime (122111121100211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 295034998 + ... + 295448594.

Almost surely, 2^{122111121100212} is an apocalyptic number.

122111121100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111121100212 is an abundant number, since it is smaller than the sum of its proper divisors (194903280375924).

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

122111121100212 is a wasteful number, since it uses less digits than its factorization.

122111121100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635297 (or 635292 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122111121100212 its reverse (212001121111221), we get a palindrome (334112242211433).

The spelling of 122111121100212 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred thousand, two hundred twelve".