121113003000 has 256 divisors, whose sum is σ = 420008509440. Its totient is φ = 28806336000.

The previous prime is 121113002999. The next prime is 121113003019. The reversal of 121113003000 is 300311121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1714377 + ... + 1783623.

It is an arithmetic number, because the mean of its divisors is an integer number (1640658240).

Almost surely, 2^121113003000 is an apocalyptic number.

121113003000 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 121113003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210004254720).

121113003000 is an abundant number, since it is smaller than the sum of its proper divisors (298895506440).

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

121113003000 is a wasteful number, since it uses less digits than its factorization.

121113003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69335 (or 69321 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 121113003000 its reverse (300311121), we get a palindrome (121413314121).

The spelling of 121113003000 in words is "one hundred twenty-one billion, one hundred thirteen million, three thousand".