11213112141252 has 384 divisors, whose sum is σ = 35275129344000. Its totient is φ = 3008983541760.

The previous prime is 11213112141239. The next prime is 11213112141269. The reversal of 11213112141252 is 25214121131211.

11213112141252 is a `hidden beast` number, since 1 + 1 + 213 + 11 + 21 + 412 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 866473102 + ... + 866486042.

It is an arithmetic number, because the mean of its divisors is an integer number (91862316000).

Almost surely, 2^{11213112141252} is an apocalyptic number.

11213112141252 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 11213112141252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637564672000).

11213112141252 is an abundant number, since it is smaller than the sum of its proper divisors (24062017202748).

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

11213112141252 is a wasteful number, since it uses less digits than its factorization.

11213112141252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13496 (or 13488 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

Adding to 11213112141252 its reverse (25214121131211), we get a palindrome (36427233272463).

The spelling of 11213112141252 in words is "eleven trillion, two hundred thirteen billion, one hundred twelve million, one hundred forty-one thousand, two hundred fifty-two".