121133000 has 64 divisors (see below), whose sum is σ = 293295600. Its totient is φ = 46771200.

The previous prime is 121132997. The next prime is 121133017. The reversal of 121133000 is 331121.

It can be written as a sum of positive squares in 8 ways, for example, as 22448644 + 98684356 = 4738^2 + 9934^2 .

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, 26912 + ... + 31088.

Almost surely, 2^121133000 is an apocalyptic number.

121133000 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 121133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146647800).

121133000 is an abundant number, since it is smaller than the sum of its proper divisors (172162600).

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

121133000 is a wasteful number, since it uses less digits than its factorization.

121133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 121133000 is about 11006.0437942069. The cubic root of 121133000 is about 494.7898982516.

Adding to 121133000 its reverse (331121), we get a palindrome (121464121).

The spelling of 121133000 in words is "one hundred twenty-one million, one hundred thirty-three thousand".