121122212000 has 288 divisors, whose sum is σ = 327124390320. Its totient is φ = 44014387200.

The previous prime is 121122211981. The next prime is 121122212021. The reversal of 121122212000 is 212221121.

It can be written as a sum of positive squares in 24 ways, for example, as 47752738576 + 73369473424 = 218524^2 + 270868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33522194 + ... + 33525806.

Almost surely, 2^121122212000 is an apocalyptic number.

121122212000 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 121122212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163562195160).

121122212000 is an abundant number, since it is smaller than the sum of its proper divisors (206002178320).

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

121122212000 is a wasteful number, since it uses less digits than its factorization.

121122212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121122212000 its reverse (212221121), we get a palindrome (121334433121).

The spelling of 121122212000 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand".