31120331101200 has 480 divisors, whose sum is σ = 120982461091200. Its totient is φ = 7535109888000.

The previous prime is 31120331101141. The next prime is 31120331101247. The reversal of 31120331101200 is 210113302113.

31120331101200 is a `hidden beast` number, since 3 + 1 + 120 + 331 + 10 + 1 + 200 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97375266 + ... + 97694334.

It is an arithmetic number, because the mean of its divisors is an integer number (252046793940).

Almost surely, 2^{31120331101200} is an apocalyptic number.

31120331101200 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 31120331101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60491230545600).

31120331101200 is an abundant number, since it is smaller than the sum of its proper divisors (89862129990000).

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

31120331101200 is a wasteful number, since it uses less digits than its factorization.

31120331101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319928 (or 319911 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31120331101200 its reverse (210113302113), we get a palindrome (31330444403313).

The spelling of 31120331101200 in words is "thirty-one trillion, one hundred twenty billion, three hundred thirty-one million, one hundred one thousand, two hundred".