121782096 has 160 divisors (see below), whose sum is σ = 378844800. Its totient is φ = 37324800.

The previous prime is 121782083. The next prime is 121782097. The reversal of 121782096 is 690287121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121782096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121782097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303496 + ... + 303896.

It is an arithmetic number, because the mean of its divisors is an integer number (2367780).

Almost surely, 2^121782096 is an apocalyptic number.

121782096 is a gapful number since it is divisible by the number (16) 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 121782096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189422400).

121782096 is an abundant number, since it is smaller than the sum of its proper divisors (257062704).

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

121782096 is a wasteful number, since it uses less digits than its factorization.

121782096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 121782096 is about 11035.4925581054. The cubic root of 121782096 is about 495.6721081228.

The spelling of 121782096 in words is "one hundred twenty-one million, seven hundred eighty-two thousand, ninety-six".