12726901470144 has 112 divisors (see below), whose sum is σ = 33920493703200. Its totient is φ = 4211266891776.

The previous prime is 12726901470137. The next prime is 12726901470149. The reversal of 12726901470144 is 44107410962721.

12726901470144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12726901470093 and 12726901470102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12726901470149) 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, 13861702 + ... + 14751290.

Almost surely, 2^{12726901470144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12726901470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16960246851600).

12726901470144 is an abundant number, since it is smaller than the sum of its proper divisors (21193592233056).

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

12726901470144 is a wasteful number, since it uses less digits than its factorization.

12726901470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890150 (or 890140 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 12726901470144 in words is "twelve trillion, seven hundred twenty-six billion, nine hundred one million, four hundred seventy thousand, one hundred forty-four".