12516621770400 has 288 divisors, whose sum is σ = 44468349843456. Its totient is φ = 3032764800000.

The previous prime is 12516621770347. The next prime is 12516621770407. The reversal of 12516621770400 is 407712661521.

It is not an unprimeable number, because it can be changed into a prime (12516621770407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51384895 + ... + 51627905.

It is an arithmetic number, because the mean of its divisors is an integer number (154403992512).

Almost surely, 2^{12516621770400} is an apocalyptic number.

12516621770400 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 12516621770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22234174921728).

12516621770400 is an abundant number, since it is smaller than the sum of its proper divisors (31951728073056).

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

12516621770400 is a wasteful number, since it uses less digits than its factorization.

12516621770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244996 (or 244983 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 12516621770400 in words is "twelve trillion, five hundred sixteen billion, six hundred twenty-one million, seven hundred seventy thousand, four hundred".