10222032000 has 256 divisors, whose sum is σ = 35882196480. Its totient is φ = 2565324800.

The previous prime is 10222031999. The next prime is 10222032001. The reversal of 10222032000 is 23022201.

It is an interprime number because it is at equal distance from previous prime (10222031999) and next prime (10222032001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10222032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809737 + ... + 822263.

It is an arithmetic number, because the mean of its divisors is an integer number (140164830).

Almost surely, 2^10222032000 is an apocalyptic number.

10222032000 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 10222032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941098240).

10222032000 is an abundant number, since it is smaller than the sum of its proper divisors (25660164480).

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

10222032000 is a wasteful number, since it uses less digits than its factorization.

10222032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576 (or 12554 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10222032000 its reverse (23022201), we get a palindrome (10245054201).

The spelling of 10222032000 in words is "ten billion, two hundred twenty-two million, thirty-two thousand".