50205120 has 224 divisors, whose sum is σ = 188829696. Its totient is φ = 11059200.

The previous prime is 50205107. The next prime is 50205121. The reversal of 50205120 is 2150205.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 50205120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50205121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208200 + ... + 208440.

Almost surely, 2^50205120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94414848).

50205120 is an abundant number, since it is smaller than the sum of its proper divisors (138624576).

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

50205120 is a wasteful number, since it uses less digits than its factorization.

50205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 50205120 is about 7085.5571411146. The cubic root of 50205120 is about 368.9062415561.

Adding to 50205120 its reverse (2150205), we get a palindrome (52355325).

The spelling of 50205120 in words is "fifty million, two hundred five thousand, one hundred twenty".