122264064 has 180 divisors, whose sum is σ = 384527286. Its totient is φ = 37380096.

The previous prime is 122264053. The next prime is 122264081. The reversal of 122264064 is 460462221.

122264064 is a `hidden beast` number, since 12 + 2 + 2 + 640 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 48441600 + 73822464 = 6960^2 + 8592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 778674 + ... + 778830.

Almost surely, 2^122264064 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 122264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192263643).

122264064 is an abundant number, since it is smaller than the sum of its proper divisors (262263222).

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

122264064 is a wasteful number, since it uses less digits than its factorization.

122264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 122264064 is about 11057.3081715217. The cubic root of 122264064 is about 496.3251423456.

It can be divided in two parts, 12226 and 4064, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 122264064 in words is "one hundred twenty-two million, two hundred sixty-four thousand, sixty-four".