12426042444200 has 192 divisors, whose sum is σ = 36218395624320. Its totient is φ = 3851653248000.

The previous prime is 12426042444191. The next prime is 12426042444229. The reversal of 12426042444200 is 244424062421.

It is a happy number.

It is a super-2 number, since 2×12426042444200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 558434 + ... + 5016366.

It is an arithmetic number, because the mean of its divisors is an integer number (188637477210).

Almost surely, 2^{12426042444200} is an apocalyptic number.

12426042444200 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 12426042444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18109197812160).

12426042444200 is an abundant number, since it is smaller than the sum of its proper divisors (23792353180120).

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

12426042444200 is a wasteful number, since it uses less digits than its factorization.

12426042444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458148 (or 4458139 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

The spelling of 12426042444200 in words is "twelve trillion, four hundred twenty-six billion, forty-two million, four hundred forty-four thousand, two hundred".