121461600 has 288 divisors, whose sum is σ = 452783520. Its totient is φ = 28016640.

The previous prime is 121461581. The next prime is 121461607. The reversal of 121461600 is 6164121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121461607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530286 + ... + 530514.

It is an arithmetic number, because the mean of its divisors is an integer number (1572165).

Almost surely, 2^121461600 is an apocalyptic number.

121461600 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 121461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226391760).

121461600 is an abundant number, since it is smaller than the sum of its proper divisors (331321920).

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

121461600 is a wasteful number, since it uses less digits than its factorization.

121461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 121461600 is about 11020.9618455015. The cubic root of 121461600 is about 495.2369032328.

The spelling of 121461600 in words is "one hundred twenty-one million, four hundred sixty-one thousand, six hundred".