103303111201200 has 960 divisors, whose sum is σ = 378196165324800. Its totient is φ = 26773286400000.

The previous prime is 103303111201183. The next prime is 103303111201249. The reversal of 103303111201200 is 2102111303301.

103303111201200 is a `hidden beast` number, since 1 + 0 + 3 + 30 + 311 + 120 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18509782410 + ... + 18509787990.

It is an arithmetic number, because the mean of its divisors is an integer number (393954338880).

Almost surely, 2^{103303111201200} is an apocalyptic number.

103303111201200 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 103303111201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189098082662400).

103303111201200 is an abundant number, since it is smaller than the sum of its proper divisors (274893054123600).

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

103303111201200 is a wasteful number, since it uses less digits than its factorization.

103303111201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103303111201200 its reverse (2102111303301), we get a palindrome (105405222504501).

The spelling of 103303111201200 in words is "one hundred three trillion, three hundred three billion, one hundred eleven million, two hundred one thousand, two hundred".