205212213203000 has 256 divisors, whose sum is σ = 534747643223040. Its totient is φ = 73353566208000.

The previous prime is 205212213202987. The next prime is 205212213203029. The reversal of 205212213203000 is 302312212502.

It is a super-2 number, since 2×205212213203000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24257444 + ... + 31604556.

It is an arithmetic number, because the mean of its divisors is an integer number (2088857981340).

Almost surely, 2^{205212213203000} is an apocalyptic number.

205212213203000 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 205212213203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267373821611520).

205212213203000 is an abundant number, since it is smaller than the sum of its proper divisors (329535430020040).

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

205212213203000 is a wasteful number, since it uses less digits than its factorization.

205212213203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347235 (or 7347221 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 205212213203000 its reverse (302312212502), we get a palindrome (205514525415502).

The spelling of 205212213203000 in words is "two hundred five trillion, two hundred twelve billion, two hundred thirteen million, two hundred three thousand".