205211621200 has 120 divisors (see below), whose sum is σ = 532197187200. Its totient is φ = 75808212480.

The previous prime is 205211621149. The next prime is 205211621207. The reversal of 205211621200 is 2126112502.

It is a super-2 number, since 2×205211621200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205211621207) 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, 117780 + ... + 651379.

It is an arithmetic number, because the mean of its divisors is an integer number (4434976560).

Almost surely, 2^205211621200 is an apocalyptic number.

205211621200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205211621200 is an abundant number, since it is smaller than the sum of its proper divisors (326985566000).

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

205211621200 is a wasteful number, since it uses less digits than its factorization.

205211621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769229 (or 769218 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 205211621200 its reverse (2126112502), we get a palindrome (207337733702).

The spelling of 205211621200 in words is "two hundred five billion, two hundred eleven million, six hundred twenty-one thousand, two hundred".