31144120112000 has 640 divisors, whose sum is σ = 92777678959680. Its totient is φ = 10388915712000.

The previous prime is 31144120111981. The next prime is 31144120112003. The reversal of 31144120112000 is 21102144113.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144120112003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1421381045 + ... + 1421402955.

Almost surely, 2^{31144120112000} 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 31144120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46388839479840).

31144120112000 is an abundant number, since it is smaller than the sum of its proper divisors (61633558847680).

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

31144120112000 is an frugal number, since it uses more digits than its factorization.

31144120112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22005 (or 21962 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 31144120112000 its reverse (21102144113), we get a palindrome (31165222256113).

The spelling of 31144120112000 in words is "thirty-one trillion, one hundred forty-four billion, one hundred twenty million, one hundred twelve thousand".