31224040200 has 72 divisors (see below), whose sum is σ = 104860741050. Its totient is φ = 8326410240.

The previous prime is 31224040187. The next prime is 31224040219. The reversal of 31224040200 is 204042213.

It can be written as a sum of positive squares in 3 ways, for example, as 26616617316 + 4607422884 = 163146^2 + 67878^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×31224040200² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8671545 + ... + 8675144.

Almost surely, 2^31224040200 is an apocalyptic number.

31224040200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31224040200 is an abundant number, since it is smaller than the sum of its proper divisors (73636700850).

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

31224040200 is a wasteful number, since it uses less digits than its factorization.

31224040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17346711 (or 17346699 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 31224040200 its reverse (204042213), we get a palindrome (31428082413).

The spelling of 31224040200 in words is "thirty-one billion, two hundred twenty-four million, forty thousand, two hundred".