12616347603200 has 432 divisors, whose sum is σ = 35556042517632. Its totient is φ = 4391362560000.

The previous prime is 12616347603193. The next prime is 12616347603247. The reversal of 12616347603200 is 230674361621.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152937965 + ... + 153020435.

It is an arithmetic number, because the mean of its divisors is an integer number (82305653976).

Almost surely, 2^{12616347603200} is an apocalyptic number.

12616347603200 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 12616347603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778021258816).

12616347603200 is an abundant number, since it is smaller than the sum of its proper divisors (22939694914432).

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

12616347603200 is a wasteful number, since it uses less digits than its factorization.

12616347603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82602 (or 82583 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 12616347603200 in words is "twelve trillion, six hundred sixteen billion, three hundred forty-seven million, six hundred three thousand, two hundred".