112121431240 has 256 divisors, whose sum is σ = 327398400000. Its totient is φ = 33558727680.

The previous prime is 112121431231. The next prime is 112121431267. The reversal of 112121431240 is 42134121211.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56087761 + ... + 56089759.

It is an arithmetic number, because the mean of its divisors is an integer number (1278900000).

Almost surely, 2^112121431240 is an apocalyptic number.

112121431240 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 112121431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163699200000).

112121431240 is an abundant number, since it is smaller than the sum of its proper divisors (215276968760).

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

112121431240 is a wasteful number, since it uses less digits than its factorization.

112121431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 112121431240 its reverse (42134121211), we get a palindrome (154255552451).

The spelling of 112121431240 in words is "one hundred twelve billion, one hundred twenty-one million, four hundred thirty-one thousand, two hundred forty".