11142031200 has 288 divisors, whose sum is σ = 38560281984. Its totient is φ = 2784829440.

The previous prime is 11142031193. The next prime is 11142031211. The reversal of 11142031200 is 213024111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11142031200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14157207 + ... + 14157993.

It is an arithmetic number, because the mean of its divisors is an integer number (133889868).

Almost surely, 2^11142031200 is an apocalyptic number.

11142031200 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 11142031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19280140992).

11142031200 is an abundant number, since it is smaller than the sum of its proper divisors (27418250784).

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

11142031200 is a wasteful number, since it uses less digits than its factorization.

11142031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11142031200 its reverse (213024111), we get a palindrome (11355055311).

The spelling of 11142031200 in words is "eleven billion, one hundred forty-two million, thirty-one thousand, two hundred".