3120122401000 has 256 divisors, whose sum is σ = 8214960798720. Its totient is φ = 1099436800000.

The previous prime is 3120122400947. The next prime is 3120122401003. The reversal of 3120122401000 is 1042210213.

3120122401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3120122401003) 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, 52187124 + ... + 52246876.

It is an arithmetic number, because the mean of its divisors is an integer number (32089690620).

Almost surely, 2^{3120122401000} 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 3120122401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107480399360).

3120122401000 is an abundant number, since it is smaller than the sum of its proper divisors (5094838397720).

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

3120122401000 is a wasteful number, since it uses less digits than its factorization.

3120122401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59933 (or 59919 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 3120122401000 its reverse (1042210213), we get a palindrome (3121164611213).

The spelling of 3120122401000 in words is "three trillion, one hundred twenty billion, one hundred twenty-two million, four hundred one thousand".