12000001272 has 128 divisors (see below), whose sum is σ = 35094435840. Its totient is φ = 3348034560.

The previous prime is 12000001249. The next prime is 12000001291. The reversal of 12000001272 is 27210000021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4112358 + ... + 4115274.

It is an arithmetic number, because the mean of its divisors is an integer number (274175280).

Almost surely, 2^12000001272 is an apocalyptic number.

12000001272 is a gapful number since it is divisible by the number (12) 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 12000001272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547217920).

12000001272 is an abundant number, since it is smaller than the sum of its proper divisors (23094434568).

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

12000001272 is a wasteful number, since it uses less digits than its factorization.

12000001272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

Adding to 12000001272 its reverse (27210000021), we get a palindrome (39210001293).

The spelling of 12000001272 in words is "twelve billion, one thousand, two hundred seventy-two".