1311240141200 has 240 divisors, whose sum is σ = 3477220526976. Its totient is φ = 471199334400.

The previous prime is 1311240141191. The next prime is 1311240141287. The reversal of 1311240141200 is 21410421131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351254534 + ... + 351258266.

Almost surely, 2^{1311240141200} is an apocalyptic number.

1311240141200 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 1311240141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738610263488).

1311240141200 is an abundant number, since it is smaller than the sum of its proper divisors (2165980385776).

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

1311240141200 is a wasteful number, since it uses less digits than its factorization.

1311240141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1311240141200 its reverse (21410421131), we get a palindrome (1332650562331).

The spelling of 1311240141200 in words is "one trillion, three hundred eleven billion, two hundred forty million, one hundred forty-one thousand, two hundred".