20130122000 has 80 divisors (see below), whose sum is σ = 49472879664. Its totient is φ = 7920000000.

The previous prime is 20130121969. The next prime is 20130122021. The reversal of 20130122000 is 22103102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16954123264 + 3175998736 = 130208^2 + 56356^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39500 + ... + 204500.

Almost surely, 2^20130122000 is an apocalyptic number.

20130122000 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 20130122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24736439832).

20130122000 is an abundant number, since it is smaller than the sum of its proper divisors (29342757664).

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

20130122000 is a wasteful number, since it uses less digits than its factorization.

20130122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165085 (or 165069 counting only the distinct ones).

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

Adding to 20130122000 its reverse (22103102), we get a palindrome (20152225102).

The spelling of 20130122000 in words is "twenty billion, one hundred thirty million, one hundred twenty-two thousand".