3110012340000 has 480 divisors, whose sum is σ = 10817307103680. Its totient is φ = 779913216000.

The previous prime is 3110012339927. The next prime is 3110012340007. The reversal of 3110012340000 is 432100113.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (3110012340007) 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, 156170044 + ... + 156189956.

It is an arithmetic number, because the mean of its divisors is an integer number (22536056466).

Almost surely, 2^{3110012340000} is an apocalyptic number.

3110012340000 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 3110012340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408653551840).

3110012340000 is an abundant number, since it is smaller than the sum of its proper divisors (7707294763680).

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

3110012340000 is a wasteful number, since it uses less digits than its factorization.

3110012340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20102 (or 20079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3110012340000 its reverse (432100113), we get a palindrome (3110444440113).

The spelling of 3110012340000 in words is "three trillion, one hundred ten billion, twelve million, three hundred forty thousand".