210122224004112 has 320 divisors, whose sum is σ = 651754189824000. Its totient is φ = 57032667648000.

The previous prime is 210122224004101. The next prime is 210122224004177. The reversal of 210122224004112 is 211400422221012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6708653412 + ... + 6708684732.

It is an arithmetic number, because the mean of its divisors is an integer number (2036731843200).

Almost surely, 2^{210122224004112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210122224004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325877094912000).

210122224004112 is an abundant number, since it is smaller than the sum of its proper divisors (441631965819888).

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

210122224004112 is a wasteful number, since it uses less digits than its factorization.

210122224004112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37262 (or 37256 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 210122224004112 its reverse (211400422221012), we get a palindrome (421522646225124).

The spelling of 210122224004112 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred twenty-four million, four thousand, one hundred twelve".