12001150272 has 224 divisors, whose sum is σ = 36616233600. Its totient is φ = 3443392512.

The previous prime is 12001150267. The next prime is 12001150277. The reversal of 12001150272 is 27205110021.

It is an interprime number because it is at equal distance from previous prime (12001150267) and next prime (12001150277).

It is a super-2 number, since 2×12001150272² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001150277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795128 + ... + 1801800.

Almost surely, 2^12001150272 is an apocalyptic number.

12001150272 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 12001150272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308116800).

12001150272 is an abundant number, since it is smaller than the sum of its proper divisors (24615083328).

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

12001150272 is a wasteful number, since it uses less digits than its factorization.

12001150272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 12001150272 its reverse (27205110021), we get a palindrome (39206260293).

The spelling of 12001150272 in words is "twelve billion, one million, one hundred fifty thousand, two hundred seventy-two".