2301331201200 has 360 divisors, whose sum is σ = 8901097592400. Its totient is φ = 547189309440.

The previous prime is 2301331201187. The next prime is 2301331201229. The reversal of 2301331201200 is 21021331032.

2301331201200 is a `hidden beast` number, since 2 + 301 + 331 + 20 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2301331201200² (a number of 26 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 173236 + ... + 2152364.

It is an arithmetic number, because the mean of its divisors is an integer number (24725271090).

Almost surely, 2^{2301331201200} is an apocalyptic number.

2301331201200 is a gapful number since it is divisible by the number (20) 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 2301331201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450548796200).

2301331201200 is an abundant number, since it is smaller than the sum of its proper divisors (6599766391200).

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

2301331201200 is a wasteful number, since it uses less digits than its factorization.

2301331201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979189 (or 1979175 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2301331201200 its reverse (21021331032), we get a palindrome (2322352532232).

The spelling of 2301331201200 in words is "two trillion, three hundred one billion, three hundred thirty-one million, two hundred one thousand, two hundred".