121338000 has 400 divisors, whose sum is σ = 505574784. Its totient is φ = 27475200.

The previous prime is 121337981. The next prime is 121338029. The reversal of 121338000 is 833121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133947 + ... + 1134053.

Almost surely, 2^121338000 is an apocalyptic number.

121338000 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 121338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252787392).

121338000 is an abundant number, since it is smaller than the sum of its proper divisors (384236784).

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

121338000 is a wasteful number, since it uses less digits than its factorization.

121338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 121338000 is about 11015.3529221719. The cubic root of 121338000 is about 495.0688609435.

The spelling of 121338000 in words is "one hundred twenty-one million, three hundred thirty-eight thousand".