121431312432 has 80 divisors (see below), whose sum is σ = 348885784960. Its totient is φ = 40438440000.

The previous prime is 121431312419. The next prime is 121431312437. The reversal of 121431312432 is 234213134121.

121431312432 is a `hidden beast` number, since 1 + 214 + 3 + 1 + 3 + 12 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121431312396 and 121431312405.

It is not an unprimeable number, because it can be changed into a prime (121431312437) 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 15 ways as a sum of consecutive naturals, for example, 320307 + ... + 587757.

It is an arithmetic number, because the mean of its divisors is an integer number (4361072312).

Almost surely, 2^121431312432 is an apocalyptic number.

121431312432 is a gapful number since it is divisible by the number (12) 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 121431312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174442892480).

121431312432 is an abundant number, since it is smaller than the sum of its proper divisors (227454472528).

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

121431312432 is a wasteful number, since it uses less digits than its factorization.

121431312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268519 (or 268507 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 121431312432 its reverse (234213134121), we get a palindrome (355644446553).

The spelling of 121431312432 in words is "one hundred twenty-one billion, four hundred thirty-one million, three hundred twelve thousand, four hundred thirty-two".