121113600 has 264 divisors, whose sum is σ = 426431040. Its totient is φ = 30228480.

The previous prime is 121113571. The next prime is 121113613. The reversal of 121113600 is 6311121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121113600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459159 + ... + 1459241.

Almost surely, 2^121113600 is an apocalyptic number.

121113600 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 121113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213215520).

121113600 is an abundant number, since it is smaller than the sum of its proper divisors (305317440).

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

121113600 is a wasteful number, since it uses less digits than its factorization.

121113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 121113600 is about 11005.1624249713. The cubic root of 121113600 is about 494.7634825584.

Adding to 121113600 its reverse (6311121), we get a palindrome (127424721).

The spelling of 121113600 in words is "one hundred twenty-one million, one hundred thirteen thousand, six hundred".