205115022112 has 480 divisors, whose sum is σ = 580911730560. Its totient is φ = 69183037440.

The previous prime is 205115022107. The next prime is 205115022149. The reversal of 205115022112 is 211220511502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 724787923 + ... + 724788205.

It is an arithmetic number, because the mean of its divisors is an integer number (1210232772).

Almost surely, 2^205115022112 is an apocalyptic number.

205115022112 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 205115022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290455865280).

205115022112 is an abundant number, since it is smaller than the sum of its proper divisors (375796708448).

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

205115022112 is a wasteful number, since it uses less digits than its factorization.

205115022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 205115022112 its reverse (211220511502), we get a palindrome (416335533614).

The spelling of 205115022112 in words is "two hundred five billion, one hundred fifteen million, twenty-two thousand, one hundred twelve".