121322210022112 has 384 divisors, whose sum is σ = 298611034444800. Its totient is φ = 47800229068800.

The previous prime is 121322210022071. The next prime is 121322210022151. The reversal of 121322210022112 is 211220012223121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656729437 + ... + 656914147.

It is an arithmetic number, because the mean of its divisors is an integer number (777632902200).

Almost surely, 2^{121322210022112} 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 121322210022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149305517222400).

121322210022112 is an abundant number, since it is smaller than the sum of its proper divisors (177288824422688).

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

121322210022112 is a wasteful number, since it uses less digits than its factorization.

121322210022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184930 (or 184922 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 121322210022112 its reverse (211220012223121), we get a palindrome (332542222245233).

The spelling of 121322210022112 in words is "one hundred twenty-one trillion, three hundred twenty-two billion, two hundred ten million, twenty-two thousand, one hundred twelve".