121314000 has 80 divisors (see below), whose sum is σ = 391135680. Its totient is φ = 32348800.

The previous prime is 121313999. The next prime is 121314049. The reversal of 121314000 is 413121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4110 + ... + 16109.

It is an arithmetic number, because the mean of its divisors is an integer number (4889196).

Almost surely, 2^121314000 is an apocalyptic number.

121314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121314000 is an abundant number, since it is smaller than the sum of its proper divisors (269821680).

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

121314000 is a wasteful number, since it uses less digits than its factorization.

121314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20245 (or 20229 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121314000 is about 11014.2634796885. The cubic root of 121314000 is about 495.0362181437.

Adding to 121314000 its reverse (413121), we get a palindrome (121727121).

The spelling of 121314000 in words is "one hundred twenty-one million, three hundred fourteen thousand".