121681600 has 84 divisors (see below), whose sum is σ = 304723800. Its totient is φ = 47810560.

The previous prime is 121681591. The next prime is 121681607. The reversal of 121681600 is 6186121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (121681607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93756 + ... + 95044.

Almost surely, 2^121681600 is an apocalyptic number.

121681600 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 121681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152361900).

121681600 is an abundant number, since it is smaller than the sum of its proper divisors (183042200).

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

121681600 is a wasteful number, since it uses less digits than its factorization.

121681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 121681600 is about 11030.9383100442. The cubic root of 121681600 is about 495.5357258077.

The spelling of 121681600 in words is "one hundred twenty-one million, six hundred eighty-one thousand, six hundred".