2013122000 has 160 divisors (see below), whose sum is σ = 5127127200. Its totient is φ = 763392000.

The previous prime is 2013121993. The next prime is 2013122021. The reversal of 2013122000 is 2213102.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1993443904 + 19678096 = 44648^2 + 4436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3537716 + ... + 3538284.

It is an arithmetic number, because the mean of its divisors is an integer number (32044545).

Almost surely, 2^2013122000 is an apocalyptic number.

2013122000 is a gapful number since it is divisible by the number (20) 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 2013122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563563600).

2013122000 is an abundant number, since it is smaller than the sum of its proper divisors (3114005200).

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

2013122000 is a wasteful number, since it uses less digits than its factorization.

2013122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2013122000 is about 44867.8281177059. The cubic root of 2013122000 is about 1262.6704929374.

Adding to 2013122000 its reverse (2213102), we get a palindrome (2015335102).

It can be divided in two parts, 20 and 13122000, that multiplied together give a square (262440000 = 16200²).

The spelling of 2013122000 in words is "two billion, thirteen million, one hundred twenty-two thousand".