20121132200 has 96 divisors (see below), whose sum is σ = 50419923960. Its totient is φ = 7423488000.

The previous prime is 20121132191. The next prime is 20121132257. The reversal of 20121132200 is 223112102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 364580836 + 19756551364 = 19094^2 + 140558^2 .

It is a super-2 number, since 2×20121132200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4680452 + ... + 4684748.

Almost surely, 2^20121132200 is an apocalyptic number.

20121132200 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 20121132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25209961980).

20121132200 is an abundant number, since it is smaller than the sum of its proper divisors (30298791760).

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

20121132200 is a wasteful number, since it uses less digits than its factorization.

20121132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20121132200 its reverse (223112102), we get a palindrome (20344244302).

The spelling of 20121132200 in words is "twenty billion, one hundred twenty-one million, one hundred thirty-two thousand, two hundred".