204120032444220 has 192 divisors, whose sum is σ = 591049282682880. Its totient is φ = 52580099462400.

The previous prime is 204120032444197. The next prime is 204120032444227. The reversal of 204120032444220 is 22444230021402.

It is a happy number.

It is a super-2 number, since 2×204120032444220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204120032444227) 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, 2457489051 + ... + 2457572109.

It is an arithmetic number, because the mean of its divisors is an integer number (3078381680640).

Almost surely, 2^{204120032444220} is an apocalyptic number.

204120032444220 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 204120032444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295524641341440).

204120032444220 is an abundant number, since it is smaller than the sum of its proper divisors (386929250238660).

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

204120032444220 is a wasteful number, since it uses less digits than its factorization.

204120032444220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85496 (or 85494 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 204120032444220 its reverse (22444230021402), we get a palindrome (226564262465622).

The spelling of 204120032444220 in words is "two hundred four trillion, one hundred twenty billion, thirty-two million, four hundred forty-four thousand, two hundred twenty".