12007101072 has 160 divisors (see below), whose sum is σ = 34162992000. Its totient is φ = 3619123200.

The previous prime is 12007101061. The next prime is 12007101097. The reversal of 12007101072 is 27010170021.

It is a happy number.

12007101072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2351322 + ... + 2356422.

It is an arithmetic number, because the mean of its divisors is an integer number (213518700).

Almost surely, 2^12007101072 is an apocalyptic number.

12007101072 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 12007101072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17081496000).

12007101072 is an abundant number, since it is smaller than the sum of its proper divisors (22155890928).

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

12007101072 is a wasteful number, since it uses less digits than its factorization.

12007101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

Adding to 12007101072 its reverse (27010170021), we get a palindrome (39017271093).

The spelling of 12007101072 in words is "twelve billion, seven million, one hundred one thousand, seventy-two".