201122064 has 120 divisors (see below), whose sum is σ = 661332672. Its totient is φ = 56252160.

The previous prime is 201122057. The next prime is 201122093. The reversal of 201122064 is 460221102.

201122064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15709 + ... + 25475.

Almost surely, 2^201122064 is an apocalyptic number.

201122064 is a gapful number since it is divisible by the number (24) 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 201122064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330666336).

201122064 is an abundant number, since it is smaller than the sum of its proper divisors (460210608).

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

201122064 is a wasteful number, since it uses less digits than its factorization.

201122064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201122064 is about 14181.7510907504. The cubic root of 201122064 is about 585.8951537738.

Adding to 201122064 its reverse (460221102), we get a palindrome (661343166).

It can be divided in two parts, 201 and 122064, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 201122064 in words is "two hundred one million, one hundred twenty-two thousand, sixty-four".