122064264 has 96 divisors (see below), whose sum is σ = 385931520. Its totient is φ = 34126848.

The previous prime is 122064263. The next prime is 122064269. The reversal of 122064264 is 462460221.

122064264 is a `hidden beast` number, since 12 + 2 + 0 + 642 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122064263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21112 + ... + 26264.

It is an arithmetic number, because the mean of its divisors is an integer number (4020120).

Almost surely, 2^122064264 is an apocalyptic number.

122064264 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 122064264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192965760).

122064264 is an abundant number, since it is smaller than the sum of its proper divisors (263867256).

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

122064264 is a wasteful number, since it uses less digits than its factorization.

122064264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5212 counting only the distinct ones).

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

The square root of 122064264 is about 11048.2697287856. The cubic root of 122064264 is about 496.0546354141.

The spelling of 122064264 in words is "one hundred twenty-two million, sixty-four thousand, two hundred sixty-four".