12320121114240 has 512 divisors, whose sum is σ = 43395249484800. Its totient is φ = 2959038480384.

The previous prime is 12320121114229. The next prime is 12320121114277. The reversal of 12320121114240 is 4241112102321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12320121114240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106903689 + ... + 107018871.

It is an arithmetic number, because the mean of its divisors is an integer number (84756346650).

Almost surely, 2^{12320121114240} is an apocalyptic number.

12320121114240 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 12320121114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21697624742400).

12320121114240 is an abundant number, since it is smaller than the sum of its proper divisors (31075128370560).

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

12320121114240 is a wasteful number, since it uses less digits than its factorization.

12320121114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115364 (or 115352 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12320121114240 its reverse (4241112102321), we get a palindrome (16561233216561).

The spelling of 12320121114240 in words is "twelve trillion, three hundred twenty billion, one hundred twenty-one million, one hundred fourteen thousand, two hundred forty".