11213442000 has 480 divisors, whose sum is σ = 40851626400. Its totient is φ = 2864332800.

The previous prime is 11213441891. The next prime is 11213442017. The reversal of 11213442000 is 24431211.

11213442000 is a `hidden beast` number, since 1 + 121 + 344 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 10494773136 + 718668864 = 102444^2 + 26808^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75257926 + ... + 75258074.

It is an arithmetic number, because the mean of its divisors is an integer number (85107555).

Almost surely, 2^11213442000 is an apocalyptic number.

11213442000 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 11213442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20425813200).

11213442000 is an abundant number, since it is smaller than the sum of its proper divisors (29638184400).

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

11213442000 is a wasteful number, since it uses less digits than its factorization.

11213442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11213442000 its reverse (24431211), we get a palindrome (11237873211).

The spelling of 11213442000 in words is "eleven billion, two hundred thirteen million, four hundred forty-two thousand".