11214021131412 has 192 divisors, whose sum is σ = 28915149312000. Its totient is φ = 3354440696320.

The previous prime is 11214021131321. The next prime is 11214021131413. The reversal of 11214021131412 is 21413112041211.

It is a super-2 number, since 2×11214021131412² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214021131413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2618261023 + ... + 2618265305.

It is an arithmetic number, because the mean of its divisors is an integer number (150599736000).

Almost surely, 2^{11214021131412} is an apocalyptic number.

11214021131412 is a gapful number since it is divisible by the number (12) 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 11214021131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457574656000).

11214021131412 is an abundant number, since it is smaller than the sum of its proper divisors (17701128180588).

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

11214021131412 is a wasteful number, since it uses less digits than its factorization.

11214021131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11214021131412 its reverse (21413112041211), we get a palindrome (32627133172623).

The spelling of 11214021131412 in words is "eleven trillion, two hundred fourteen billion, twenty-one million, one hundred thirty-one thousand, four hundred twelve".