11210311200000 has 648 divisors, whose sum is σ = 40991808418848. Its totient is φ = 2717580800000.

The previous prime is 11210311199981. The next prime is 11210311200059. The reversal of 11210311200000 is 211301211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 290380699 + ... + 290419301.

Almost surely, 2^{11210311200000} is an apocalyptic number.

11210311200000 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 11210311200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20495904209424).

11210311200000 is an abundant number, since it is smaller than the sum of its proper divisors (29781497218848).

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

11210311200000 is an frugal number, since it uses more digits than its factorization.

11210311200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38669 (or 38624 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11210311200000 its reverse (211301211), we get a palindrome (11210522501211).

The spelling of 11210311200000 in words is "eleven trillion, two hundred ten billion, three hundred eleven million, two hundred thousand".