122732064 has 288 divisors, whose sum is σ = 450455040. Its totient is φ = 32223744.

The previous prime is 122732033. The next prime is 122732101. The reversal of 122732064 is 460237221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550257 + ... + 550479.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 2^122732064 is an apocalyptic number.

122732064 is a gapful number since it is divisible by the number (14) 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 122732064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

122732064 is an abundant number, since it is smaller than the sum of its proper divisors (327722976).

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

122732064 is a wasteful number, since it uses less digits than its factorization.

122732064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 122732064 is about 11078.4504331608. The cubic root of 122732064 is about 496.9576106147.

Adding to 122732064 its reverse (460237221), we get a palindrome (582969285).

The spelling of 122732064 in words is "one hundred twenty-two million, seven hundred thirty-two thousand, sixty-four".