121782400 has 96 divisors (see below), whose sum is σ = 316832400. Its totient is φ = 46126080.

The previous prime is 121782391. The next prime is 121782443. The reversal of 121782400 is 4287121.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59799 + ... + 61801.

Almost surely, 2^121782400 is an apocalyptic number.

121782400 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 121782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158416200).

121782400 is an abundant number, since it is smaller than the sum of its proper divisors (195050000).

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

121782400 is a wasteful number, since it uses less digits than its factorization.

121782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 121782400 is about 11035.5063318363. The cubic root of 121782400 is about 495.6725205649.

The spelling of 121782400 in words is "one hundred twenty-one million, seven hundred eighty-two thousand, four hundred".