122568576 has 128 divisors (see below), whose sum is σ = 359399040. Its totient is φ = 36771840.

The previous prime is 122568559. The next prime is 122568583. The reversal of 122568576 is 675865221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214371 + ... + 214941.

It is an arithmetic number, because the mean of its divisors is an integer number (2807805).

Almost surely, 2^122568576 is an apocalyptic number.

122568576 is a gapful number since it is divisible by the number (16) 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 122568576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179699520).

122568576 is an abundant number, since it is smaller than the sum of its proper divisors (236830464).

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

122568576 is a wasteful number, since it uses less digits than its factorization.

122568576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 122568576 is about 11071.0693250472. The cubic root of 122568576 is about 496.7368513842.

The spelling of 122568576 in words is "one hundred twenty-two million, five hundred sixty-eight thousand, five hundred seventy-six".