20152122101200 has 120 divisors (see below), whose sum is σ = 49683525597720. Its totient is φ = 7850417971200.

The previous prime is 20152122101191. The next prime is 20152122101201. The reversal of 20152122101200 is 210122125102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13066027172416 + 7086094928784 = 3614696^2 + 2661972^2 .

It is a super-2 number, since 2×20152122101200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20152122101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8251822 + ... + 10411378.

It is an arithmetic number, because the mean of its divisors is an integer number (414029379981).

Almost surely, 2^{20152122101200} is an apocalyptic number.

20152122101200 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 20152122101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24841762798860).

20152122101200 is an abundant number, since it is smaller than the sum of its proper divisors (29531403496520).

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

20152122101200 is a wasteful number, since it uses less digits than its factorization.

20152122101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160185 (or 2160174 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 20152122101200 its reverse (210122125102), we get a palindrome (20362244226302).

The spelling of 20152122101200 in words is "twenty trillion, one hundred fifty-two billion, one hundred twenty-two million, one hundred one thousand, two hundred".