10022123311200 has 5184 divisors, whose sum is σ = 50847870528000. Its totient is φ = 1838669414400.

The previous prime is 10022123311199. The next prime is 10022123311267. The reversal of 10022123311200 is 211332122001.

10022123311200 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 212 + 331 + 120 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 169866496771 + ... + 169866496829.

It is an arithmetic number, because the mean of its divisors is an integer number (9808617000).

Almost surely, 2^{10022123311200} is an apocalyptic number.

10022123311200 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 10022123311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25423935264000).

10022123311200 is an abundant number, since it is smaller than the sum of its proper divisors (40825747216800).

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

10022123311200 is a wasteful number, since it uses less digits than its factorization.

10022123311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10022123311200 its reverse (211332122001), we get a palindrome (10233455433201).

The spelling of 10022123311200 in words is "ten trillion, twenty-two billion, one hundred twenty-three million, three hundred eleven thousand, two hundred".