10222201332000 has 288 divisors, whose sum is σ = 41461249624704. Its totient is φ = 2336503104000.

The previous prime is 10222201331989. The next prime is 10222201332001. The reversal of 10222201332000 is 23310222201.

10222201332000 is a `hidden beast` number, since 10 + 222 + 201 + 33 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10222201332001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20030146 + ... + 20534145.

It is an arithmetic number, because the mean of its divisors is an integer number (143962672308).

Almost surely, 2^{10222201332000} is an apocalyptic number.

10222201332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222201332000 is an abundant number, since it is smaller than the sum of its proper divisors (31239048292704).

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

10222201332000 is a wasteful number, since it uses less digits than its factorization.

10222201332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40564329 (or 40564308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222201332000 its reverse (23310222201), we get a palindrome (10245511554201).

The spelling of 10222201332000 in words is "ten trillion, two hundred twenty-two billion, two hundred one million, three hundred thirty-two thousand".