11124124000 has 192 divisors, whose sum is σ = 30627035712. Its totient is φ = 3935232000.

The previous prime is 11124123937. The next prime is 11124124021. The reversal of 11124124000 is 42142111.

It is a happy number.

It is a super-2 number, since 2×11124124000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624584 + ... + 1631416.

It is an arithmetic number, because the mean of its divisors is an integer number (159515811).

Almost surely, 2^11124124000 is an apocalyptic number.

11124124000 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 11124124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313517856).

11124124000 is an abundant number, since it is smaller than the sum of its proper divisors (19502911712).

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

11124124000 is a wasteful number, since it uses less digits than its factorization.

11124124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6906 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11124124000 its reverse (42142111), we get a palindrome (11166266111).

The spelling of 11124124000 in words is "eleven billion, one hundred twenty-four million, one hundred twenty-four thousand".