11124062400 has 504 divisors, whose sum is σ = 40716768960. Its totient is φ = 2656614400.

The previous prime is 11124062399. The next prime is 11124062423. The reversal of 11124062400 is 426042111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62145511 + ... + 62145689.

It is an arithmetic number, because the mean of its divisors is an integer number (80787240).

Almost surely, 2^11124062400 is an apocalyptic number.

11124062400 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 11124062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358384480).

11124062400 is an abundant number, since it is smaller than the sum of its proper divisors (29592706560).

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

11124062400 is a wasteful number, since it uses less digits than its factorization.

11124062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 11124062400 in words is "eleven billion, one hundred twenty-four million, sixty-two thousand, four hundred".