12121141211136 has 312 divisors, whose sum is σ = 36347341670640. Its totient is φ = 4036126703616.

The previous prime is 12121141211117. The next prime is 12121141211161. The reversal of 12121141211136 is 63111214112121.

12121141211136 is a `hidden beast` number, since 1 + 2 + 1 + 211 + 412 + 1 + 1 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (81) and by the product (331776) of the squares of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028167930 + ... + 1028179718.

It is an arithmetic number, because the mean of its divisors is an integer number (116497889970).

Almost surely, 2^{12121141211136} is an apocalyptic number.

12121141211136 is a gapful number since it is divisible by the number (16) 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 12121141211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173670835320).

12121141211136 is an abundant number, since it is smaller than the sum of its proper divisors (24226200459504).

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

12121141211136 is an equidigital number, since it uses as much as digits as its factorization.

12121141211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12861 (or 12827 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

Adding to 12121141211136 its reverse (63111214112121), we get a palindrome (75232355323257).

The spelling of 12121141211136 in words is "twelve trillion, one hundred twenty-one billion, one hundred forty-one million, two hundred eleven thousand, one hundred thirty-six".