204123626420120 has 256 divisors, whose sum is σ = 532088137382400. Its totient is φ = 69651895541760.

The previous prime is 204123626420089. The next prime is 204123626420141. The reversal of 204123626420120 is 21024626321402.

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, 9375069554 + ... + 9375091326.

It is an arithmetic number, because the mean of its divisors is an integer number (2078469286650).

Almost surely, 2^{204123626420120} is an apocalyptic number.

204123626420120 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 204123626420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266044068691200).

204123626420120 is an abundant number, since it is smaller than the sum of its proper divisors (327964510962280).

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

204123626420120 is a wasteful number, since it uses less digits than its factorization.

204123626420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25498 (or 25494 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 204123626420120 in words is "two hundred four trillion, one hundred twenty-three billion, six hundred twenty-six million, four hundred twenty thousand, one hundred twenty".