205412121400 has 96 divisors (see below), whose sum is σ = 515532405600. Its totient is φ = 75882329600.

The previous prime is 205412121389. The next prime is 205412121413. The reversal of 205412121400 is 4121214502.

It is a congruent number.

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, 636511 + ... + 903310.

It is an arithmetic number, because the mean of its divisors is an integer number (5370129225).

Almost surely, 2^205412121400 is an apocalyptic number.

205412121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205412121400 is an abundant number, since it is smaller than the sum of its proper divisors (310120284200).

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

205412121400 is a wasteful number, since it uses less digits than its factorization.

205412121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539889 (or 1539880 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 205412121400 its reverse (4121214502), we get a palindrome (209533335902).

The spelling of 205412121400 in words is "two hundred five billion, four hundred twelve million, one hundred twenty-one thousand, four hundred".