20205415212200 has 96 divisors (see below), whose sum is σ = 47411710456320. Its totient is φ = 8007816000000.

The previous prime is 20205415212131. The next prime is 20205415212209. The reversal of 20205415212200 is 221251450202.

It is a self number, because there is not a number n which added to its sum of digits gives 20205415212200.

It is not an unprimeable number, because it can be changed into a prime (20205415212209) 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, 8534540 + ... + 10641860.

It is an arithmetic number, because the mean of its divisors is an integer number (493871983920).

Almost surely, 2^{20205415212200} is an apocalyptic number.

20205415212200 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 20205415212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23705855228160).

20205415212200 is an abundant number, since it is smaller than the sum of its proper divisors (27206295244120).

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

20205415212200 is a wasteful number, since it uses less digits than its factorization.

20205415212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107779 (or 2107770 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 20205415212200 its reverse (221251450202), we get a palindrome (20426666662402).

The spelling of 20205415212200 in words is "twenty trillion, two hundred five billion, four hundred fifteen million, two hundred twelve thousand, two hundred".