1124100023200 has 864 divisors, whose sum is σ = 3590641934208. Its totient is φ = 339655680000.

The previous prime is 1124100023191. The next prime is 1124100023231. The reversal of 1124100023200 is 23200014211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2308213357 + ... + 2308213843.

It is an arithmetic number, because the mean of its divisors is an integer number (4155835572).

Almost surely, 2^{1124100023200} is an apocalyptic number.

1124100023200 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 1124100023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795320967104).

1124100023200 is an abundant number, since it is smaller than the sum of its proper divisors (2466541911008).

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

1124100023200 is a wasteful number, since it uses less digits than its factorization.

1124100023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1124100023200 its reverse (23200014211), we get a palindrome (1147300037411).

The spelling of 1124100023200 in words is "one trillion, one hundred twenty-four billion, one hundred million, twenty-three thousand, two hundred".