121112202001000 has 128 divisors (see below), whose sum is σ = 324215480309760. Its totient is φ = 41482279872000.

The previous prime is 121112202000929. The next prime is 121112202001069. The reversal of 121112202001000 is 100202211121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792437 + ... + 15666436.

It is an arithmetic number, because the mean of its divisors is an integer number (2532933439920).

Almost surely, 2^{121112202001000} is an apocalyptic number.

121112202001000 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 121112202001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162107740154880).

121112202001000 is an abundant number, since it is smaller than the sum of its proper divisors (203103278308760).

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

121112202001000 is a wasteful number, since it uses less digits than its factorization.

121112202001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17459892 (or 17459878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121112202001000 its reverse (100202211121), we get a palindrome (121212404212121).

The spelling of 121112202001000 in words is "one hundred twenty-one trillion, one hundred twelve billion, two hundred two million, one thousand".