10124105541200 has 180 divisors, whose sum is σ = 28303775247132. Its totient is φ = 3469958553600.

The previous prime is 10124105541181. The next prime is 10124105541287. The reversal of 10124105541200 is 214550142101.

It is a happy number.

10124105541200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 645637962256 + 9478467578944 = 803516^2 + 3078712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10124105541200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59440160 + ... + 59610240.

Almost surely, 2^{10124105541200} is an apocalyptic number.

10124105541200 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 10124105541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151887623566).

10124105541200 is an abundant number, since it is smaller than the sum of its proper divisors (18179669705932).

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

10124105541200 is a wasteful number, since it uses less digits than its factorization.

10124105541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173150 (or 173132 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 10124105541200 its reverse (214550142101), we get a palindrome (10338655683301).

The spelling of 10124105541200 in words is "ten trillion, one hundred twenty-four billion, one hundred five million, five hundred forty-one thousand, two hundred".