121793296 has 45 divisors (see below), whose sum is σ = 246602613. Its totient is φ = 58270080.

The previous prime is 121793293. The next prime is 121793317. The reversal of 121793296 is 692397121.

The square root of 121793296 is 11036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23386896 + 98406400 = 4836^2 + 9920^2 .

It is not an unprimeable number, because it can be changed into a prime (121793293) 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 8 ways as a sum of consecutive naturals, for example, 1368420 + ... + 1368508.

Almost surely, 2^121793296 is an apocalyptic number.

121793296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121793296 is the 11036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121793296

121793296 is an abundant number, since it is smaller than the sum of its proper divisors (124809317).

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

121793296 is an frugal number, since it uses more digits than its factorization.

121793296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 122 counting only the distinct ones).

The product of its digits is 40824, while the sum is 40.

The cubic root of 121793296 is about 495.6873029054.

The spelling of 121793296 in words is "one hundred twenty-one million, seven hundred ninety-three thousand, two hundred ninety-six".