10522224421200 has 300 divisors, whose sum is σ = 38403483998880. Its totient is φ = 2758367934720.

The previous prime is 10522224421187. The next prime is 10522224421253. The reversal of 10522224421200 is 212442222501.

10522224421200 is a `hidden beast` number, since 10 + 5 + 2 + 2 + 2 + 2 + 442 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×10522224421200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 840604 + ... + 4663803.

Almost surely, 2^{10522224421200} is an apocalyptic number.

10522224421200 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 10522224421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201741999440).

10522224421200 is an abundant number, since it is smaller than the sum of its proper divisors (27881259577680).

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

10522224421200 is a wasteful number, since it uses less digits than its factorization.

10522224421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504496 (or 5504476 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 10522224421200 its reverse (212442222501), we get a palindrome (10734666643701).

The spelling of 10522224421200 in words is "ten trillion, five hundred twenty-two billion, two hundred twenty-four million, four hundred twenty-one thousand, two hundred".