12258129527040 has 576 divisors, whose sum is σ = 40176284746752. Its totient is φ = 3184368844800.

The previous prime is 12258129527029. The next prime is 12258129527081. The reversal of 12258129527040 is 4072592185221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14930729830 + ... + 14930730650.

It is an arithmetic number, because the mean of its divisors is an integer number (69750494352).

Almost surely, 2^{12258129527040} is an apocalyptic number.

12258129527040 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 12258129527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088142373376).

12258129527040 is an abundant number, since it is smaller than the sum of its proper divisors (27918155219712).

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

12258129527040 is a wasteful number, since it uses less digits than its factorization.

12258129527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 12258129527040 in words is "twelve trillion, two hundred fifty-eight billion, one hundred twenty-nine million, five hundred twenty-seven thousand, forty".