121307631444 has 108 divisors (see below), whose sum is σ = 314406158976. Its totient is φ = 39436365024.

The previous prime is 121307631443. The next prime is 121307631449. The reversal of 121307631444 is 444136703121.

121307631444 is a `hidden beast` number, since 1 + 2 + 13 + 0 + 7 + 631 + 4 + 4 + 4 = 666.

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 = 121307631399 and 121307631408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121307631443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77413149 + ... + 77414715.

Almost surely, 2^121307631444 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 121307631444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157203079488).

121307631444 is an abundant number, since it is smaller than the sum of its proper divisors (193098527532).

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

121307631444 is a wasteful number, since it uses less digits than its factorization.

121307631444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 121307631444 in words is "one hundred twenty-one billion, three hundred seven million, six hundred thirty-one thousand, four hundred forty-four".