121378896 has 60 divisors (see below), whose sum is σ = 340904148. Its totient is φ = 40315392.

The previous prime is 121378877. The next prime is 121378903. The reversal of 121378896 is 698873121.

It can be written as a sum of positive squares in 2 ways, for example, as 17338896 + 104040000 = 4164^2 + 10200^2 .

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 11 ways as a sum of consecutive naturals, for example, 43726 + ... + 46418.

Almost surely, 2^121378896 is an apocalyptic number.

121378896 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 121378896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170452074).

121378896 is an abundant number, since it is smaller than the sum of its proper divisors (219525252).

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

121378896 is a wasteful number, since it uses less digits than its factorization.

121378896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3011 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 121378896 is about 11017.2090839740. The cubic root of 121378896 is about 495.1244743593.

The spelling of 121378896 in words is "one hundred twenty-one million, three hundred seventy-eight thousand, eight hundred ninety-six".