11142204000240 has 160 divisors (see below), whose sum is σ = 36733762103040. Its totient is φ = 2784155226112.

The previous prime is 11142204000227. The next prime is 11142204000241. The reversal of 11142204000240 is 4200040224111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142204000241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5089110 + ... + 6941429.

It is an arithmetic number, because the mean of its divisors is an integer number (229586013144).

Almost surely, 2^{11142204000240} is an apocalyptic number.

11142204000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142204000240 is an abundant number, since it is smaller than the sum of its proper divisors (25591558102800).

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

11142204000240 is a wasteful number, since it uses less digits than its factorization.

11142204000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12030799 (or 12030793 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11142204000240 its reverse (4200040224111), we get a palindrome (15342244224351).

The spelling of 11142204000240 in words is "eleven trillion, one hundred forty-two billion, two hundred four million, two hundred forty", and thus it is an aban number.