122640345 has 64 divisors (see below), whose sum is σ = 231840000. Its totient is φ = 61337088.

The previous prime is 122640341. The next prime is 122640367. The reversal of 122640345 is 543046221.

122640345 is a `hidden beast` number, since 12 + 2 + 640 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 122640345 - 2² = 122640341 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122640341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351231 + ... + 351579.

It is an arithmetic number, because the mean of its divisors is an integer number (3622500).

Almost surely, 2^122640345 is an apocalyptic number.

122640345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122640345 is a deficient number, since it is larger than the sum of its proper divisors (109199655).

122640345 is a wasteful number, since it uses less digits than its factorization.

122640345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 122640345 is about 11074.3101365277. The cubic root of 122640345 is about 496.8337858304.

Adding to 122640345 its reverse (543046221), we get a palindrome (665686566).

The spelling of 122640345 in words is "one hundred twenty-two million, six hundred forty thousand, three hundred forty-five".