12269842457600 has 2112 divisors, whose sum is σ = 41264878878720. Its totient is φ = 3511340236800.

The previous prime is 12269842457573. The next prime is 12269842457633. The reversal of 12269842457600 is 675424896221.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 137863398356 + ... + 137863398444.

Almost surely, 2^{12269842457600} is an apocalyptic number.

12269842457600 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 12269842457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632439439360).

12269842457600 is an abundant number, since it is smaller than the sum of its proper divisors (28995036421120).

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

12269842457600 is a wasteful number, since it uses less digits than its factorization.

12269842457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 12269842457600 in words is "twelve trillion, two hundred sixty-nine billion, eight hundred forty-two million, four hundred fifty-seven thousand, six hundred".