31112200212000 has 384 divisors, whose sum is σ = 104706530143488. Its totient is φ = 8070174720000.

The previous prime is 31112200211993. The next prime is 31112200212011. The reversal of 31112200212000 is 21200221113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2242637064 + ... + 2242650936.

It is an arithmetic number, because the mean of its divisors is an integer number (272673255582).

Almost surely, 2^{31112200212000} is an apocalyptic number.

31112200212000 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 31112200212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52353265071744).

31112200212000 is an abundant number, since it is smaller than the sum of its proper divisors (73594329931488).

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

31112200212000 is a wasteful number, since it uses less digits than its factorization.

31112200212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18989 (or 18971 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31112200212000 its reverse (21200221113), we get a palindrome (31133400433113).

The spelling of 31112200212000 in words is "thirty-one trillion, one hundred twelve billion, two hundred million, two hundred twelve thousand".