121111114344 has 256 divisors, whose sum is σ = 356977152000. Its totient is φ = 33851520000.

The previous prime is 121111114343. The next prime is 121111114381. The reversal of 121111114344 is 443411111121.

It is a happy number.

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

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 (121111114343) 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 63 ways as a sum of consecutive naturals, for example, 30901617 + ... + 30905535.

It is an arithmetic number, because the mean of its divisors is an integer number (1394442000).

Almost surely, 2^121111114344 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 121111114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576000).

121111114344 is an abundant number, since it is smaller than the sum of its proper divisors (235866037656).

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

121111114344 is a wasteful number, since it uses less digits than its factorization.

121111114344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4116 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

Adding to 121111114344 its reverse (443411111121), we get a palindrome (564522225465).

The spelling of 121111114344 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred fourteen thousand, three hundred forty-four".