3011123314320 has 240 divisors, whose sum is σ = 10377441997632. Its totient is φ = 716041896960.

The previous prime is 3011123314319. The next prime is 3011123314349. The reversal of 3011123314320 is 234133211103.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×3011123314320³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 649086561 + ... + 649091199.

Almost surely, 2^{3011123314320} is an apocalyptic number.

3011123314320 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 3011123314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188720998816).

3011123314320 is an abundant number, since it is smaller than the sum of its proper divisors (7366318683312).

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

3011123314320 is an equidigital number, since it uses as much as digits as its factorization.

3011123314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3011123314320 its reverse (234133211103), we get a palindrome (3245256525423).

The spelling of 3011123314320 in words is "three trillion, eleven billion, one hundred twenty-three million, three hundred fourteen thousand, three hundred twenty".