204334111201120 has 48 divisors (see below), whose sum is σ = 484457271405408. Its totient is φ = 81442777400320.

The previous prime is 204334111200979. The next prime is 204334111201127. The reversal of 204334111201120 is 21102111433402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204334111201127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2272353964 + ... + 2272443883.

It is an arithmetic number, because the mean of its divisors is an integer number (10092859820946).

Almost surely, 2^{204334111201120} is an apocalyptic number.

204334111201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204334111201120 is an abundant number, since it is smaller than the sum of its proper divisors (280123160204288).

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

204334111201120 is a wasteful number, since it uses less digits than its factorization.

204334111201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544798143 (or 4544798135 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 204334111201120 its reverse (21102111433402), we get a palindrome (225436222634522).

The spelling of 204334111201120 in words is "two hundred four trillion, three hundred thirty-four billion, one hundred eleven million, two hundred one thousand, one hundred twenty".