1005252224124 has 96 divisors (see below), whose sum is σ = 2625500666880. Its totient is φ = 297492092928.

The previous prime is 1005252224087. The next prime is 1005252224153. The reversal of 1005252224124 is 4214222525001.

It is a junction number, because it is equal to n+sod(n) for n = 1005252224091 and 1005252224100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346557 + ... + 1459659.

It is an arithmetic number, because the mean of its divisors is an integer number (27348965280).

Almost surely, 2^{1005252224124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005252224124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312750333440).

1005252224124 is an abundant number, since it is smaller than the sum of its proper divisors (1620248442756).

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

1005252224124 is a wasteful number, since it uses less digits than its factorization.

1005252224124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113379 (or 1113377 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1005252224124 its reverse (4214222525001), we get a palindrome (5219474749125).

The spelling of 1005252224124 in words is "one trillion, five billion, two hundred fifty-two million, two hundred twenty-four thousand, one hundred twenty-four".