121749200 has 30 divisors (see below), whose sum is σ = 292503414. Its totient is φ = 48699520.

The previous prime is 121749197. The next prime is 121749209. The reversal of 121749200 is 2947121.

It can be written as a sum of positive squares in 3 ways, for example, as 23580736 + 98168464 = 4856^2 + 9908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121749200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121749209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151787 + ... + 152586.

Almost surely, 2^121749200 is an apocalyptic number.

121749200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121749200 is an abundant number, since it is smaller than the sum of its proper divisors (170754214).

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

121749200 is a wasteful number, since it uses less digits than its factorization.

121749200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304391 (or 304380 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 121749200 is about 11034.0019938371. The cubic root of 121749200 is about 495.6274734882.

The spelling of 121749200 in words is "one hundred twenty-one million, seven hundred forty-nine thousand, two hundred".