11142588912 has 640 divisors, whose sum is σ = 39677460480. Its totient is φ = 2612736000.

The previous prime is 11142588871. The next prime is 11142588923. The reversal of 11142588912 is 21988524111.

It is a happy number.

11142588912 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 156937837 + ... + 156937907.

It is an arithmetic number, because the mean of its divisors is an integer number (61996032).

Almost surely, 2^11142588912 is an apocalyptic number.

11142588912 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 11142588912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19838730240).

11142588912 is an abundant number, since it is smaller than the sum of its proper divisors (28534871568).

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

11142588912 is a wasteful number, since it uses less digits than its factorization.

11142588912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its digits is 46080, while the sum is 42.

The spelling of 11142588912 in words is "eleven billion, one hundred forty-two million, five hundred eighty-eight thousand, nine hundred twelve".