121311242118 has 96 divisors (see below), whose sum is σ = 291570469632. Its totient is φ = 36143236800.

The previous prime is 121311242081. The next prime is 121311242119. The reversal of 121311242118 is 811242113121.

121311242118 is a `hidden beast` number, since 1 + 213 + 1 + 12 + 421 + 18 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121311242091 and 121311242100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311242119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7168455 + ... + 7185357.

It is an arithmetic number, because the mean of its divisors is an integer number (3037192392).

Almost surely, 2^121311242118 is an apocalyptic number.

121311242118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121311242118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145785234816).

121311242118 is an abundant number, since it is smaller than the sum of its proper divisors (170259227514).

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

121311242118 is a wasteful number, since it uses less digits than its factorization.

121311242118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17530 (or 17527 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

Adding to 121311242118 its reverse (811242113121), we get a palindrome (932553355239).

The spelling of 121311242118 in words is "one hundred twenty-one billion, three hundred eleven million, two hundred forty-two thousand, one hundred eighteen".