121311000 has 128 divisors (see below), whose sum is σ = 420638400. Its totient is φ = 32342400.

The previous prime is 121310989. The next prime is 121311007. The reversal of 121311000 is 113121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24754 + ... + 29246.

Almost surely, 2^121311000 is an apocalyptic number.

121311000 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 121311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210319200).

121311000 is an abundant number, since it is smaller than the sum of its proper divisors (299327400).

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

121311000 is a wasteful number, since it uses less digits than its factorization.

121311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 121311000 is about 11014.1272918012. The cubic root of 121311000 is about 495.0321374910.

Adding to 121311000 its reverse (113121), we get a palindrome (121424121).

It can be divided in two parts, 12131 and 1000, that added together give a palindrome (13131).

The spelling of 121311000 in words is "one hundred twenty-one million, three hundred eleven thousand".