12561194277400 has 192 divisors, whose sum is σ = 30347137658880. Its totient is φ = 4830134668800.

The previous prime is 12561194277361. The next prime is 12561194277403. The reversal of 12561194277400 is 477249116521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12561194277403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2160876894 + ... + 2160882706.

It is an arithmetic number, because the mean of its divisors is an integer number (158058008640).

Almost surely, 2^{12561194277400} is an apocalyptic number.

12561194277400 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 12561194277400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173568829440).

12561194277400 is an abundant number, since it is smaller than the sum of its proper divisors (17785943381480).

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

12561194277400 is a wasteful number, since it uses less digits than its factorization.

12561194277400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8114 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 12561194277400 in words is "twelve trillion, five hundred sixty-one billion, one hundred ninety-four million, two hundred seventy-seven thousand, four hundred".