121313421034344 has 768 divisors, whose sum is σ = 422079941836800. Its totient is φ = 30564765504000.

The previous prime is 121313421034321. The next prime is 121313421034363. The reversal of 121313421034344 is 443430124313121.

121313421034344 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 3 + 4 + 210 + 3 + 434 + 4 = 666.

It is a super-2 number, since 2×121313421034344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121313421034299 and 121313421034308.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62180122569 + ... + 62180124519.

It is an arithmetic number, because the mean of its divisors is an integer number (549583257600).

Almost surely, 2^{121313421034344} is an apocalyptic number.

121313421034344 is a gapful number since it is divisible by the number (14) 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 121313421034344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211039970918400).

121313421034344 is an abundant number, since it is smaller than the sum of its proper divisors (300766520802456).

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

121313421034344 is a wasteful number, since it uses less digits than its factorization.

121313421034344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 121313421034344 its reverse (443430124313121), we get a palindrome (564743545347465).

The spelling of 121313421034344 in words is "one hundred twenty-one trillion, three hundred thirteen billion, four hundred twenty-one million, thirty-four thousand, three hundred forty-four".