1308120307200 has 2160 divisors, whose sum is σ = 5769556238160. Its totient is φ = 281788416000.

The previous prime is 1308120307187. The next prime is 1308120307201. The reversal of 1308120307200 is 27030218031.

1308120307200 is a `hidden beast` number, since 1 + 30 + 8 + 120 + 307 + 200 = 666.

It is a super-2 number, since 2×1308120307200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308120307201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9985651135 + ... + 9985651265.

It is an arithmetic number, because the mean of its divisors is an integer number (2671090851).

Almost surely, 2^{1308120307200} is an apocalyptic number.

1308120307200 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 1308120307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884778119080).

1308120307200 is an abundant number, since it is smaller than the sum of its proper divisors (4461435930960).

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

1308120307200 is a wasteful number, since it uses less digits than its factorization.

1308120307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 1308120307200 in words is "one trillion, three hundred eight billion, one hundred twenty million, three hundred seven thousand, two hundred".