12434420512240 has 80 divisors (see below), whose sum is σ = 30834053181792. Its totient is φ = 4647024238592.

The previous prime is 12434420512187. The next prime is 12434420512247. The reversal of 12434420512240 is 4221502443421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12434420512240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 12434420512196 and 12434420512205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434420512247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33182134 + ... + 33554773.

Almost surely, 2^{12434420512240} is an apocalyptic number.

12434420512240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434420512240 is an abundant number, since it is smaller than the sum of its proper divisors (18399632669552).

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

12434420512240 is a wasteful number, since it uses less digits than its factorization.

12434420512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66737074 (or 66737068 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 12434420512240 its reverse (4221502443421), we get a palindrome (16655922955661).

The spelling of 12434420512240 in words is "twelve trillion, four hundred thirty-four billion, four hundred twenty million, five hundred twelve thousand, two hundred forty".