31112434300200 has 288 divisors, whose sum is σ = 106103749862880. Its totient is φ = 7536001088000.

The previous prime is 31112434300187. The next prime is 31112434300217. The reversal of 31112434300200 is 200343421113.

It is a happy number.

It is a super-2 number, since 2×31112434300200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85559167 + ... + 85922033.

It is an arithmetic number, because the mean of its divisors is an integer number (368415798135).

Almost surely, 2^{31112434300200} is an apocalyptic number.

31112434300200 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 31112434300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53051874931440).

31112434300200 is an abundant number, since it is smaller than the sum of its proper divisors (74991315562680).

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

31112434300200 is a wasteful number, since it uses less digits than its factorization.

31112434300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364089 (or 364069 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31112434300200 its reverse (200343421113), we get a palindrome (31312777721313).

The spelling of 31112434300200 in words is "thirty-one trillion, one hundred twelve billion, four hundred thirty-four million, three hundred thousand, two hundred".