204242120412 has 192 divisors, whose sum is σ = 539645815296. Its totient is φ = 59584000000.

The previous prime is 204242120399. The next prime is 204242120413. The reversal of 204242120412 is 214021242402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204242120413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268386112 + ... + 268386872.

It is an arithmetic number, because the mean of its divisors is an integer number (2810655288).

Almost surely, 2^204242120412 is an apocalyptic number.

204242120412 is a gapful number since it is divisible by the number (22) 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 204242120412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269822907648).

204242120412 is an abundant number, since it is smaller than the sum of its proper divisors (335403694884).

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

204242120412 is a wasteful number, since it uses less digits than its factorization.

204242120412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204242120412 its reverse (214021242402), we get a palindrome (418263362814).

The spelling of 204242120412 in words is "two hundred four billion, two hundred forty-two million, one hundred twenty thousand, four hundred twelve".