11211231213000 has 2304 divisors, whose sum is σ = 51639091358400. Its totient is φ = 2165435596800.

The previous prime is 11211231212903. The next prime is 11211231213001. The reversal of 11211231213000 is 31213211211.

11211231213000 is a `hidden beast` number, since 1 + 121 + 123 + 121 + 300 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 3584653049124 + 7626578163876 = 1893318^2 + 2761626^2 .

It is a super-2 number, since 2×11211231213000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11211231213001) 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 575 ways as a sum of consecutive naturals, for example, 3606055446 + ... + 3606058554.

Almost surely, 2^{11211231213000} is an apocalyptic number.

11211231213000 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 11211231213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25819545679200).

11211231213000 is an abundant number, since it is smaller than the sum of its proper divisors (40427860145400).

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

11211231213000 is a wasteful number, since it uses less digits than its factorization.

11211231213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11211231213000 its reverse (31213211211), we get a palindrome (11242444424211).

The spelling of 11211231213000 in words is "eleven trillion, two hundred eleven billion, two hundred thirty-one million, two hundred thirteen thousand".