12468111040 has 336 divisors, whose sum is σ = 37661795136. Its totient is φ = 3848232960.

The previous prime is 12468111031. The next prime is 12468111067. The reversal of 12468111040 is 4011186421.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42553134 + ... + 42553426.

It is an arithmetic number, because the mean of its divisors is an integer number (112088676).

Almost surely, 2^12468111040 is an apocalyptic number.

12468111040 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 12468111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18830897568).

12468111040 is an abundant number, since it is smaller than the sum of its proper divisors (25193684096).

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

12468111040 is a wasteful number, since it uses less digits than its factorization.

12468111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 12468111040 its reverse (4011186421), we get a palindrome (16479297461).

The spelling of 12468111040 in words is "twelve billion, four hundred sixty-eight million, one hundred eleven thousand, forty".