10222210312000 has 224 divisors, whose sum is σ = 25405136973216. Its totient is φ = 4074401792000.

The previous prime is 10222210311979. The next prime is 10222210312019. The reversal of 10222210312000 is 21301222201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8324009738496 + 1898200573504 = 2885136^2 + 1377752^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3603174582 + ... + 3603177418.

It is an arithmetic number, because the mean of its divisors is an integer number (113415790059).

Almost surely, 2^{10222210312000} is an apocalyptic number.

10222210312000 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 10222210312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702568486608).

10222210312000 is an abundant number, since it is smaller than the sum of its proper divisors (15182926661216).

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

10222210312000 is an equidigital number, since it uses as much as digits as its factorization.

10222210312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10222210312000 its reverse (21301222201), we get a palindrome (10243511534201).

The spelling of 10222210312000 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, three hundred twelve thousand".