31123120000000 has 704 divisors, whose sum is σ = 89715942201600. Its totient is φ = 10570752000000.

The previous prime is 31123119999919. The next prime is 31123120000003. The reversal of 31123120000000 is 2132113.

It is not an unprimeable number, because it can be changed into a prime (31123120000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83439999814 + ... + 83440000186.

It is an arithmetic number, because the mean of its divisors is an integer number (127437417900).

Almost surely, 2^{31123120000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31123120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44857971100800).

31123120000000 is an abundant number, since it is smaller than the sum of its proper divisors (58592822201600).

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

31123120000000 is an frugal number, since it uses more digits than its factorization.

31123120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31123120000000 its reverse (2132113), we get a palindrome (31123122132113).

The spelling of 31123120000000 in words is "thirty-one trillion, one hundred twenty-three billion, one hundred twenty million", and thus it is an aban number.