31122223030200 has 192 divisors, whose sum is σ = 96583705434720. Its totient is φ = 8290247680000.

The previous prime is 31122223030193. The next prime is 31122223030207. The reversal of 31122223030200 is 203032222113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31122223030193) and next prime (31122223030207).

It is a super-2 number, since 2×31122223030200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122223030207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4603194820 + ... + 4603201580.

Almost surely, 2^{31122223030200} is an apocalyptic number.

31122223030200 is a gapful number since it is divisible by the number (30) 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 31122223030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48291852717360).

31122223030200 is an abundant number, since it is smaller than the sum of its proper divisors (65461482404520).

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

31122223030200 is a wasteful number, since it uses less digits than its factorization.

31122223030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13978 (or 13969 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31122223030200 its reverse (203032222113), we get a palindrome (31325255252313).

The spelling of 31122223030200 in words is "thirty-one trillion, one hundred twenty-two billion, two hundred twenty-three million, thirty thousand, two hundred".