121222211112000 has 672 divisors, whose sum is σ = 449762260487904. Its totient is φ = 31140771840000.

The previous prime is 121222211111891. The next prime is 121222211112151. The reversal of 121222211112000 is 211112222121.

121222211112000 is a `hidden beast` number, since 1 + 21 + 222 + 211 + 11 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 45975885424704 + 75246325687296 = 6780552^2 + 8674464^2 .

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268838734 + ... + 269289266.

It is an arithmetic number, because the mean of its divisors is an integer number (669289078107).

Almost surely, 2^{121222211112000} is an apocalyptic number.

121222211112000 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 121222211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224881130243952).

121222211112000 is an abundant number, since it is smaller than the sum of its proper divisors (328540049375904).

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

121222211112000 is a wasteful number, since it uses less digits than its factorization.

121222211112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450704 (or 450681 counting only the distinct ones).

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

Adding to 121222211112000 its reverse (211112222121), we get a palindrome (121433323334121).

The spelling of 121222211112000 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twelve thousand".