12521546240 has 240 divisors, whose sum is σ = 35186723352. Its totient is φ = 4260888576.

The previous prime is 12521546237. The next prime is 12521546243. The reversal of 12521546240 is 4264512521.

It is an interprime number because it is at equal distance from previous prime (12521546237) and next prime (12521546243).

It can be written as a sum of positive squares in 4 ways, for example, as 12319224064 + 202322176 = 110992^2 + 14224^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12521546197 and 12521546206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12521546243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21700832 + ... + 21701408.

Almost surely, 2^12521546240 is an apocalyptic number.

12521546240 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 12521546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593361676).

12521546240 is an abundant number, since it is smaller than the sum of its proper divisors (22665177112).

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

12521546240 is an equidigital number, since it uses as much as digits as its factorization.

12521546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 12521546240 in words is "twelve billion, five hundred twenty-one million, five hundred forty-six thousand, two hundred forty".