121418000 has 80 divisors (see below), whose sum is σ = 320336640. Its totient is φ = 44144000.

The previous prime is 121417993. The next prime is 121418057. The reversal of 121418000 is 814121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121418000.

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, 19241 + ... + 24759.

It is an arithmetic number, because the mean of its divisors is an integer number (4004208).

Almost surely, 2^121418000 is an apocalyptic number.

121418000 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 121418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160168320).

121418000 is an abundant number, since it is smaller than the sum of its proper divisors (198918640).

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

121418000 is a wasteful number, since it uses less digits than its factorization.

121418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 121418000 is about 11018.9836191910. The cubic root of 121418000 is about 495.1776391990.

The spelling of 121418000 in words is "one hundred twenty-one million, four hundred eighteen thousand".