12268419387840 has 1344 divisors, whose sum is σ = 53400239013888. Its totient is φ = 2511306547200.

The previous prime is 12268419387821. The next prime is 12268419387853. The reversal of 12268419387840 is 4878391486221.

It is a happy number.

12268419387840 is a `hidden beast` number, since 1 + 2 + 2 + 68 + 419 + 3 + 87 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×12268419387840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4532107767 + ... + 4532110473.

Almost surely, 2^{12268419387840} is an apocalyptic number.

12268419387840 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 12268419387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26700119506944).

12268419387840 is an abundant number, since it is smaller than the sum of its proper divisors (41131819626048).

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

12268419387840 is a wasteful number, since it uses less digits than its factorization.

12268419387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 12268419387840 in words is "twelve trillion, two hundred sixty-eight billion, four hundred nineteen million, three hundred eighty-seven thousand, eight hundred forty".