12461225227600 has 240 divisors, whose sum is σ = 31855600468224. Its totient is φ = 4674700800000.

The previous prime is 12461225227579. The next prime is 12461225227601. The reversal of 12461225227600 is 672252216421.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12461225227601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95642500 + ... + 95772700.

Almost surely, 2^{12461225227600} is an apocalyptic number.

12461225227600 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 12461225227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927800234112).

12461225227600 is an abundant number, since it is smaller than the sum of its proper divisors (19394375240624).

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

12461225227600 is a wasteful number, since it uses less digits than its factorization.

12461225227600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130446 (or 130435 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 12461225227600 in words is "twelve trillion, four hundred sixty-one billion, two hundred twenty-five million, two hundred twenty-seven thousand, six hundred".