10124141200 has 120 divisors (see below), whose sum is σ = 25263383040. Its totient is φ = 3894758400.

The previous prime is 10124141191. The next prime is 10124141201. The reversal of 10124141200 is 214142101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10124141201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2068356 + ... + 2073244.

It is an arithmetic number, because the mean of its divisors is an integer number (210528192).

Almost surely, 2^10124141200 is an apocalyptic number.

10124141200 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 10124141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631691520).

10124141200 is an abundant number, since it is smaller than the sum of its proper divisors (15139241840).

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

10124141200 is a wasteful number, since it uses less digits than its factorization.

10124141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5094 counting only the distinct ones).

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

Adding to 10124141200 its reverse (214142101), we get a palindrome (10338283301).

Subtracting from 10124141200 its reverse (214142101), we obtain a palindrome (9909999099).

The spelling of 10124141200 in words is "ten billion, one hundred twenty-four million, one hundred forty-one thousand, two hundred".