121773456 has 200 divisors, whose sum is σ = 416751104. Its totient is φ = 33592320.

The previous prime is 121773391. The next prime is 121773467. The reversal of 121773456 is 654377121.

It is a happy number.

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 121773456.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 281016 + ... + 281448.

Almost surely, 2^121773456 is an apocalyptic number.

121773456 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 121773456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208375552).

121773456 is an abundant number, since it is smaller than the sum of its proper divisors (294977648).

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

121773456 is a wasteful number, since it uses less digits than its factorization.

121773456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 121773456 is about 11035.1010869860. The cubic root of 121773456 is about 495.6603857967.

The spelling of 121773456 in words is "one hundred twenty-one million, seven hundred seventy-three thousand, four hundred fifty-six".