231210223431200 has 288 divisors, whose sum is σ = 624861541208016. Its totient is φ = 82986487234560.

The previous prime is 231210223431139. The next prime is 231210223431217. The reversal of 231210223431200 is 2134322012132.

It can be written as a sum of positive squares in 24 ways, for example, as 411050241424 + 230799173189776 = 641132^2 + 15192076^2 .

It is a super-2 number, since 2×231210223431200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 231210223431200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420311534 + ... + 420861266.

Almost surely, 2^{231210223431200} is an apocalyptic number.

231210223431200 is a gapful number since it is divisible by the number (20) 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 231210223431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312430770604008).

231210223431200 is an abundant number, since it is smaller than the sum of its proper divisors (393651317776816).

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

231210223431200 is a wasteful number, since it uses less digits than its factorization.

231210223431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550896 (or 550883 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 231210223431200 its reverse (2134322012132), we get a palindrome (233344545443332).

The spelling of 231210223431200 in words is "two hundred thirty-one trillion, two hundred ten billion, two hundred twenty-three million, four hundred thirty-one thousand, two hundred".