11540124000 has 192 divisors, whose sum is σ = 42006444480. Its totient is φ = 3077337600.

The previous prime is 11540123929. The next prime is 11540124023. The reversal of 11540124000 is 42104511.

11540124000 is a `hidden beast` number, since 1 + 1 + 540 + 124 + 0 + 0 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 54574 + ... + 161426.

It is an arithmetic number, because the mean of its divisors is an integer number (218783565).

Almost surely, 2^11540124000 is an apocalyptic number.

11540124000 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 11540124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003222240).

11540124000 is an abundant number, since it is smaller than the sum of its proper divisors (30466320480).

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

11540124000 is a wasteful number, since it uses less digits than its factorization.

11540124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106887 (or 106863 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11540124000 its reverse (42104511), we get a palindrome (11582228511).

The spelling of 11540124000 in words is "eleven billion, five hundred forty million, one hundred twenty-four thousand".