3122001201000 has 256 divisors, whose sum is σ = 10666590105600. Its totient is φ = 753968928000.

The previous prime is 3122001200849. The next prime is 3122001201089. The reversal of 3122001201000 is 1021002213.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8499141 + ... + 8858859.

It is an arithmetic number, because the mean of its divisors is an integer number (41666367600).

Almost surely, 2^{3122001201000} is an apocalyptic number.

3122001201000 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 3122001201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333295052800).

3122001201000 is an abundant number, since it is smaller than the sum of its proper divisors (7544588904600).

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

3122001201000 is a wasteful number, since it uses less digits than its factorization.

3122001201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360017 (or 360003 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 3122001201000 its reverse (1021002213), we get a palindrome (3123022203213).

The spelling of 3122001201000 in words is "three trillion, one hundred twenty-two billion, one million, two hundred one thousand".