121135200 has 144 divisors (see below), whose sum is σ = 417629520. Its totient is φ = 30392320.

The previous prime is 121135193. The next prime is 121135247. The reversal of 121135200 is 2531121.

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 121135200.

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, 39316 + ... + 42284.

It is an arithmetic number, because the mean of its divisors is an integer number (2900205).

Almost surely, 2^121135200 is an apocalyptic number.

121135200 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 121135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208814760).

121135200 is an abundant number, since it is smaller than the sum of its proper divisors (296494320).

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

121135200 is a wasteful number, since it uses less digits than its factorization.

121135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 121135200 is about 11006.1437388397. The cubic root of 121135200 is about 494.7928936676.

Adding to 121135200 its reverse (2531121), we get a palindrome (123666321).

The spelling of 121135200 in words is "one hundred twenty-one million, one hundred thirty-five thousand, two hundred".