1012210524400 has 240 divisors, whose sum is σ = 2589751388160. Its totient is φ = 379515110400.

The previous prime is 1012210524379. The next prime is 1012210524443. The reversal of 1012210524400 is 44250122101.

It is a super-2 number, since 2×1012210524400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104142741 + ... + 104152459.

It is an arithmetic number, because the mean of its divisors is an integer number (10790630784).

Almost surely, 2^{1012210524400} is an apocalyptic number.

1012210524400 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 1012210524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294875694080).

1012210524400 is an abundant number, since it is smaller than the sum of its proper divisors (1577540863760).

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

1012210524400 is a wasteful number, since it uses less digits than its factorization.

1012210524400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 1012210524400 its reverse (44250122101), we get a palindrome (1056460646501).

The spelling of 1012210524400 in words is "one trillion, twelve billion, two hundred ten million, five hundred twenty-four thousand, four hundred".