12045291520 has 208 divisors, whose sum is σ = 31687374960. Its totient is φ = 4374659072.

The previous prime is 12045291493. The next prime is 12045291529. The reversal of 12045291520 is 2519254021.

It can be written as a sum of positive squares in 8 ways, for example, as 110166016 + 11935125504 = 10496^2 + 109248^2 .

It is not an unprimeable number, because it can be changed into a prime (12045291529) 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 15 ways as a sum of consecutive naturals, for example, 10096044 + ... + 10097236.

Almost surely, 2^12045291520 is an apocalyptic number.

12045291520 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 12045291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843687480).

12045291520 is an abundant number, since it is smaller than the sum of its proper divisors (19642083440).

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

12045291520 is a wasteful number, since it uses less digits than its factorization.

12045291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 12045291520 in words is "twelve billion, forty-five million, two hundred ninety-one thousand, five hundred twenty".