121222101112000 has 448 divisors, whose sum is σ = 346531546183680. Its totient is φ = 41145988608000.

The previous prime is 121222101111931. The next prime is 121222101112003. The reversal of 121222101112000 is 211101222121.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (121222101112003) 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 63 ways as a sum of consecutive naturals, for example, 7880256309 + ... + 7880271691.

Almost surely, 2^{121222101112000} is an apocalyptic number.

121222101112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121222101112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173265773091840).

121222101112000 is an abundant number, since it is smaller than the sum of its proper divisors (225309445071680).

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

121222101112000 is a wasteful number, since it uses less digits than its factorization.

121222101112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16817 (or 16797 counting only the distinct ones).

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

Adding to 121222101112000 its reverse (211101222121), we get a palindrome (121433202334121).

The spelling of 121222101112000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred one million, one hundred twelve thousand".