3123120000 has 960 divisors, whose sum is σ = 13995020160. Its totient is φ = 599040000.

The previous prime is 3123119981. The next prime is 3123120043. The reversal of 3123120000 is 213213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 240239994 + ... + 240240006.

It is an arithmetic number, because the mean of its divisors is an integer number (14578146).

Almost surely, 2^3123120000 is an apocalyptic number.

3123120000 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 3123120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997510080).

3123120000 is an abundant number, since it is smaller than the sum of its proper divisors (10871900160).

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

3123120000 is a wasteful number, since it uses less digits than its factorization.

3123120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3123120000 is about 55884.8816765322. The cubic root of 3123120000 is about 1461.7156287822.

Adding to 3123120000 its reverse (213213), we get a palindrome (3123333213).

It can be divided in two parts, 312 and 3120000, that multiplied together give a square (973440000 = 31200²).

The spelling of 3123120000 in words is "three billion, one hundred twenty-three million, one hundred twenty thousand".