12009309480 has 960 divisors, whose sum is σ = 51906096000. Its totient is φ = 2429844480.

The previous prime is 12009309479. The next prime is 12009309503. The reversal of 12009309480 is 8490390021.

12009309480 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 (36).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 387397065 + ... + 387397095.

It is an arithmetic number, because the mean of its divisors is an integer number (54068850).

Almost surely, 2^12009309480 is an apocalyptic number.

12009309480 is a gapful number since it is divisible by the number (10) 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 12009309480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25953048000).

12009309480 is an abundant number, since it is smaller than the sum of its proper divisors (39896786520).

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

12009309480 is a wasteful number, since it uses less digits than its factorization.

12009309480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

It can be divided in two parts, 12009 and 309480, that added together give a square (321489 = 567²).

The spelling of 12009309480 in words is "twelve billion, nine million, three hundred nine thousand, four hundred eighty".