31200002311122 has 144 divisors (see below), whose sum is σ = 73255217555520. Its totient is φ = 9588497421888.

The previous prime is 31200002311039. The next prime is 31200002311141. The reversal of 31200002311122 is 22111320000213.

31200002311122 is a `hidden beast` number, since 31 + 200 + 0 + 0 + 2 + 311 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31200002311095 and 31200002311104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37283779 + ... + 38111417.

It is an arithmetic number, because the mean of its divisors is an integer number (508716788580).

Almost surely, 2^{31200002311122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200002311122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36627608777760).

31200002311122 is an abundant number, since it is smaller than the sum of its proper divisors (42055215244398).

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

31200002311122 is a wasteful number, since it uses less digits than its factorization.

31200002311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827837 (or 827811 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31200002311122 its reverse (22111320000213), we get a palindrome (53311322311335).

The spelling of 31200002311122 in words is "thirty-one trillion, two hundred billion, two million, three hundred eleven thousand, one hundred twenty-two".