10122513124400 has 120 divisors (see below), whose sum is σ = 24395640402000. Its totient is φ = 4036307788800.

The previous prime is 10122513124397. The next prime is 10122513124411. The reversal of 10122513124400 is 442131522101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122513124400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685289015 + ... + 685303785.

It is an arithmetic number, because the mean of its divisors is an integer number (203297003350).

Almost surely, 2^{10122513124400} is an apocalyptic number.

10122513124400 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 10122513124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12197820201000).

10122513124400 is an abundant number, since it is smaller than the sum of its proper divisors (14273127277600).

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

10122513124400 is a wasteful number, since it uses less digits than its factorization.

10122513124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20047 (or 20036 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 10122513124400 its reverse (442131522101), we get a palindrome (10564644646501).

The spelling of 10122513124400 in words is "ten trillion, one hundred twenty-two billion, five hundred thirteen million, one hundred twenty-four thousand, four hundred".