121011222112 has 96 divisors (see below), whose sum is σ = 263390841504. Its totient is φ = 54269952000.

The previous prime is 121011222083. The next prime is 121011222119. The reversal of 121011222112 is 211222110121.

It is a super-3 number, since 3×121011222112³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121011222119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10410928 + ... + 10422544.

It is an arithmetic number, because the mean of its divisors is an integer number (2743654599).

Almost surely, 2^121011222112 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 121011222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131695420752).

121011222112 is an abundant number, since it is smaller than the sum of its proper divisors (142379619392).

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

121011222112 is a wasteful number, since it uses less digits than its factorization.

121011222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121011222112 its reverse (211222110121), we get a palindrome (332233332233).

The spelling of 121011222112 in words is "one hundred twenty-one billion, eleven million, two hundred twenty-two thousand, one hundred twelve".