10245224000 has 112 divisors (see below), whose sum is σ = 27679107456. Its totient is φ = 3725504000.

The previous prime is 10245223991. The next prime is 10245224021. The reversal of 10245224000 is 42254201.

It is a happy number.

It is a super-2 number, since 2×10245224000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29789 + ... + 146211.

It is an arithmetic number, because the mean of its divisors is an integer number (247134888).

Almost surely, 2^10245224000 is an apocalyptic number.

10245224000 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 10245224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839553728).

10245224000 is an abundant number, since it is smaller than the sum of its proper divisors (17433883456).

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

10245224000 is a wasteful number, since it uses less digits than its factorization.

10245224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116461 (or 116441 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 10245224000 its reverse (42254201), we get a palindrome (10287478201).

The spelling of 10245224000 in words is "ten billion, two hundred forty-five million, two hundred twenty-four thousand".