121000011000 has 256 divisors, whose sum is σ = 412430054400. Its totient is φ = 29291328000.

The previous prime is 121000010987. The next prime is 121000011023. The reversal of 121000011000 is 110000121.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121000011000.

It is a congruent number.

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, 27354789 + ... + 27359211.

It is an arithmetic number, because the mean of its divisors is an integer number (1611054900).

Almost surely, 2^121000011000 is an apocalyptic number.

121000011000 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 121000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206215027200).

121000011000 is an abundant number, since it is smaller than the sum of its proper divisors (291430043400).

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

121000011000 is a wasteful number, since it uses less digits than its factorization.

121000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 121000011000 its reverse (110000121), we get a palindrome (121110011121).

The spelling of 121000011000 in words is "one hundred twenty-one billion, eleven thousand".