122211002211012 has 144 divisors (see below), whose sum is σ = 370651550959872. Its totient is φ = 33457557450240.

The previous prime is 122211002210987. The next prime is 122211002211079. The reversal of 122211002211012 is 210112200112221.

122211002211012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122211002211012² (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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 252306033 + ... + 252789944.

It is an arithmetic number, because the mean of its divisors is an integer number (2573969103888).

Almost surely, 2^{122211002211012} is an apocalyptic number.

122211002211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122211002211012 is an abundant number, since it is smaller than the sum of its proper divisors (248440548748860).

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

122211002211012 is a wasteful number, since it uses less digits than its factorization.

122211002211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505096058 (or 505096053 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122211002211012 its reverse (210112200112221), we get a palindrome (332323202323233).

The spelling of 122211002211012 in words is "one hundred twenty-two trillion, two hundred eleven billion, two million, two hundred eleven thousand, twelve".