121414381248 has 224 divisors, whose sum is σ = 344348409600. Its totient is φ = 37642530816.

The previous prime is 121414381247. The next prime is 121414381261. The reversal of 121414381248 is 842183414121.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121414381247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95077186 + ... + 95078462.

Almost surely, 2^121414381248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121414381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172174204800).

121414381248 is an abundant number, since it is smaller than the sum of its proper divisors (222934028352).

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

121414381248 is a wasteful number, since it uses less digits than its factorization.

121414381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1757 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

Adding to 121414381248 its reverse (842183414121), we get a palindrome (963597795369).

The spelling of 121414381248 in words is "one hundred twenty-one billion, four hundred fourteen million, three hundred eighty-one thousand, two hundred forty-eight".