121344000000 has 448 divisors, whose sum is σ = 409588507200. Its totient is φ = 31948800000.

The previous prime is 121343999993. The next prime is 121344000007. The reversal of 121344000000 is 443121.

It is an interprime number because it is at equal distance from previous prime (121343999993) and next prime (121344000007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (121344000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1535999961 + ... + 1536000039.

Almost surely, 2^121344000000 is an apocalyptic number.

121344000000 is a gapful number since it is divisible by the number (10) 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 121344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204794253600).

121344000000 is an abundant number, since it is smaller than the sum of its proper divisors (288244507200).

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

121344000000 is an frugal number, since it uses more digits than its factorization.

121344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 121344000000 its reverse (443121), we get a palindrome (121344443121).

The spelling of 121344000000 in words is "one hundred twenty-one billion, three hundred forty-four million", and thus it is an aban number.