20121431011440 has 320 divisors, whose sum is σ = 69708358950912. Its totient is φ = 4759087334400.

The previous prime is 20121431011403. The next prime is 20121431011477. The reversal of 20121431011440 is 4411013412102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20121431011403) and next prime (20121431011477).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20121431011440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100592325 + ... + 100792155.

Almost surely, 2^{20121431011440} is an apocalyptic number.

20121431011440 is a gapful number since it is divisible by the number (20) 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 20121431011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34854179475456).

20121431011440 is an abundant number, since it is smaller than the sum of its proper divisors (49586927939472).

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

20121431011440 is a wasteful number, since it uses less digits than its factorization.

20121431011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200788 (or 200782 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 20121431011440 its reverse (4411013412102), we get a palindrome (24532444423542).

The spelling of 20121431011440 in words is "twenty trillion, one hundred twenty-one billion, four hundred thirty-one million, eleven thousand, four hundred forty".