11112121002000 has 320 divisors, whose sum is σ = 36181455238656. Its totient is φ = 2933845196800.

The previous prime is 11112121001999. The next prime is 11112121002011. The reversal of 11112121002000 is 20012121111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 666465664 + ... + 666482336.

Almost surely, 2^{11112121002000} is an apocalyptic number.

11112121002000 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 11112121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090727619328).

11112121002000 is an abundant number, since it is smaller than the sum of its proper divisors (25069334236656).

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

11112121002000 is a wasteful number, since it uses less digits than its factorization.

11112121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17795 (or 17779 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11112121002000 its reverse (20012121111), we get a palindrome (11132133123111).

The spelling of 11112121002000 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-one million, two thousand".