31122212130000 has 300 divisors, whose sum is σ = 108862200944640. Its totient is φ = 8297477664000.

The previous prime is 31122212129969. The next prime is 31122212130017. The reversal of 31122212130000 is 3121222113.

31122212130000 is a `hidden beast` number, since 31 + 122 + 212 + 1 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 450235441 + ... + 450304559.

Almost surely, 2^{31122212130000} is an apocalyptic number.

31122212130000 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 31122212130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54431100472320).

31122212130000 is an abundant number, since it is smaller than the sum of its proper divisors (77739988814640).

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

31122212130000 is a wasteful number, since it uses less digits than its factorization.

31122212130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74156 (or 74132 counting only the distinct ones).

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

Adding to 31122212130000 its reverse (3121222113), we get a palindrome (31125333352113).

The spelling of 31122212130000 in words is "thirty-one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred thirty thousand".