1311040201200 has 120 divisors (see below), whose sum is σ = 4344516092400. Its totient is φ = 337555169280.

The previous prime is 1311040201147. The next prime is 1311040201201. The reversal of 1311040201200 is 21020401131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311040201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311040201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18801985 + ... + 18871584.

It is an arithmetic number, because the mean of its divisors is an integer number (36204300770).

Almost surely, 2^{1311040201200} is an apocalyptic number.

1311040201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311040201200 is an abundant number, since it is smaller than the sum of its proper divisors (3033475891200).

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

1311040201200 is a wasteful number, since it uses less digits than its factorization.

1311040201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37673619 (or 37673608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1311040201200 its reverse (21020401131), we get a palindrome (1332060602331).

The spelling of 1311040201200 in words is "one trillion, three hundred eleven billion, forty million, two hundred one thousand, two hundred".