1200945715201 has 8 divisors (see below), whose sum is σ = 1223871491304. Its totient is φ = 1178029806720.

The previous prime is 1200945715181. The next prime is 1200945715213. The reversal of 1200945715201 is 1025175490021.

It can be written as a sum of positive squares in 4 ways, for example, as 8097300225 + 1192848414976 = 89985^2 + 1092176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1200945715201 - 2¹³ = 1200945707009 is a prime.

It is a super-2 number, since 2×1200945715201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200945715261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2220940 + ... + 2708221.

It is an arithmetic number, because the mean of its divisors is an integer number (152983936413).

Almost surely, 2^{1200945715201} is an apocalyptic number.

It is an amenable number.

1200945715201 is a deficient number, since it is larger than the sum of its proper divisors (22925776103).

1200945715201 is an equidigital number, since it uses as much as digits as its factorization.

1200945715201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933811.

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 1200945715201 in words is "one trillion, two hundred billion, nine hundred forty-five million, seven hundred fifteen thousand, two hundred one".