12160216551600 has 480 divisors, whose sum is σ = 47747567918400. Its totient is φ = 2920275763200.

The previous prime is 12160216551523. The next prime is 12160216551653. The reversal of 12160216551600 is 615561206121.

12160216551600 is a `hidden beast` number, since 1 + 2 + 1 + 60 + 21 + 65 + 516 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4700166 + ... + 6812634.

It is an arithmetic number, because the mean of its divisors is an integer number (99474099830).

Almost surely, 2^{12160216551600} is an apocalyptic number.

12160216551600 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 12160216551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23873783959200).

12160216551600 is an abundant number, since it is smaller than the sum of its proper divisors (35587351366800).

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

12160216551600 is a wasteful number, since it uses less digits than its factorization.

12160216551600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112550 (or 2112533 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 12160216551600 its reverse (615561206121), we get a palindrome (12775777757721).

The spelling of 12160216551600 in words is "twelve trillion, one hundred sixty billion, two hundred sixteen million, five hundred fifty-one thousand, six hundred".