122023618560 has 768 divisors, whose sum is σ = 467970048000. Its totient is φ = 30072176640.

The previous prime is 122023618559. The next prime is 122023618573. The reversal of 122023618560 is 65816320221.

122023618560 is a `hidden beast` number, since 12 + 2 + 0 + 23 + 61 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197129931 + ... + 197130549.

It is an arithmetic number, because the mean of its divisors is an integer number (609336000).

Almost surely, 2^122023618560 is an apocalyptic number.

122023618560 is a gapful number since it is divisible by the number (10) 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 122023618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024000).

122023618560 is an abundant number, since it is smaller than the sum of its proper divisors (345946429440).

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

122023618560 is a wasteful number, since it uses less digits than its factorization.

122023618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 122023618560 its reverse (65816320221), we get a palindrome (187839938781).

The spelling of 122023618560 in words is "one hundred twenty-two billion, twenty-three million, six hundred eighteen thousand, five hundred sixty".