12491667072 has 320 divisors, whose sum is σ = 38270073600. Its totient is φ = 4043520000.

The previous prime is 12491667061. The next prime is 12491667077. The reversal of 12491667072 is 27076619421.

It is not an unprimeable number, because it can be changed into a prime (12491667077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82726197 + ... + 82726347.

It is an arithmetic number, because the mean of its divisors is an integer number (119593980).

Almost surely, 2^12491667072 is an apocalyptic number.

12491667072 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 12491667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19135036800).

12491667072 is an abundant number, since it is smaller than the sum of its proper divisors (25778406528).

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

12491667072 is a wasteful number, since it uses less digits than its factorization.

12491667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12491667072 in words is "twelve billion, four hundred ninety-one million, six hundred sixty-seven thousand, seventy-two".