121311443440 has 160 divisors (see below), whose sum is σ = 313838841600. Its totient is φ = 43236188160.

The previous prime is 121311443417. The next prime is 121311443441. The reversal of 121311443440 is 44344113121.

It is a junction number, because it is equal to n+sod(n) for n = 121311443399 and 121311443408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311443441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18324451 + ... + 18331069.

It is an arithmetic number, because the mean of its divisors is an integer number (1961492760).

Almost surely, 2^121311443440 is an apocalyptic number.

121311443440 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 121311443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156919420800).

121311443440 is an abundant number, since it is smaller than the sum of its proper divisors (192527398160).

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

121311443440 is a wasteful number, since it uses less digits than its factorization.

121311443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 121311443440 its reverse (44344113121), we get a palindrome (165655556561).

The spelling of 121311443440 in words is "one hundred twenty-one billion, three hundred eleven million, four hundred forty-three thousand, four hundred forty".