11212113030400 has 108 divisors (see below), whose sum is σ = 27811937945484. Its totient is φ = 4475115520000.

The previous prime is 11212113030389. The next prime is 11212113030431. The reversal of 11212113030400 is 403031121211.

It can be written as a sum of positive squares in 6 ways, for example, as 213710194944 + 10998402835456 = 462288^2 + 3316384^2 .

It is a super-2 number, since 2×11212113030400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050300 + ... + 4850500.

Almost surely, 2^{11212113030400} is an apocalyptic number.

11212113030400 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 11212113030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13905968972742).

11212113030400 is an abundant number, since it is smaller than the sum of its proper divisors (16599824915084).

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

11212113030400 is an equidigital number, since it uses as much as digits as its factorization.

11212113030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800688 (or 3800669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11212113030400 its reverse (403031121211), we get a palindrome (11615144151611).

The spelling of 11212113030400 in words is "eleven trillion, two hundred twelve billion, one hundred thirteen million, thirty thousand, four hundred".