10322212034400 has 576 divisors, whose sum is σ = 42797255800320. Its totient is φ = 2103703142400.

The previous prime is 10322212034389. The next prime is 10322212034413. The reversal of 10322212034400 is 443021222301.

It is a happy number.

It is a super-2 number, since 2×10322212034400² (a number of 27 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 4475290 + ... + 6377510.

It is an arithmetic number, because the mean of its divisors is an integer number (74300791320).

Almost surely, 2^{10322212034400} is an apocalyptic number.

10322212034400 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 10322212034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398627900160).

10322212034400 is an abundant number, since it is smaller than the sum of its proper divisors (32475043765920).

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

10322212034400 is a wasteful number, since it uses less digits than its factorization.

10322212034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902287 (or 1902274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10322212034400 its reverse (443021222301), we get a palindrome (10765233256701).

The spelling of 10322212034400 in words is "ten trillion, three hundred twenty-two billion, two hundred twelve million, thirty-four thousand, four hundred".