121101321000 has 256 divisors, whose sum is σ = 416826259200. Its totient is φ = 29027328000.

The previous prime is 121101320987. The next prime is 121101321007. The reversal of 121101321000 is 123101121.

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

It is not an unprimeable number, because it can be changed into a prime (121101321007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2916384 + ... + 2957616.

It is an arithmetic number, because the mean of its divisors is an integer number (1628227575).

Almost surely, 2^121101321000 is an apocalyptic number.

121101321000 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 121101321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208413129600).

121101321000 is an abundant number, since it is smaller than the sum of its proper divisors (295724938200).

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

121101321000 is a wasteful number, since it uses less digits than its factorization.

121101321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41357 (or 41343 counting only the distinct ones).

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

Adding to 121101321000 its reverse (123101121), we get a palindrome (121224422121).

The spelling of 121101321000 in words is "one hundred twenty-one billion, one hundred one million, three hundred twenty-one thousand".