122002123320 has 512 divisors, whose sum is σ = 511797657600. Its totient is φ = 25112332800.

The previous prime is 122002123303. The next prime is 122002123333. The reversal of 122002123320 is 23321200221.

122002123320 is a `hidden beast` number, since 1 + 220 + 0 + 2 + 123 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122002123293 and 122002123302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8891265 + ... + 8904975.

It is an arithmetic number, because the mean of its divisors is an integer number (999604800).

Almost surely, 2^122002123320 is an apocalyptic number.

122002123320 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 122002123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255898828800).

122002123320 is an abundant number, since it is smaller than the sum of its proper divisors (389795534280).

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

122002123320 is a wasteful number, since it uses less digits than its factorization.

122002123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13856 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122002123320 its reverse (23321200221), we get a palindrome (145323323541).

The spelling of 122002123320 in words is "one hundred twenty-two billion, two million, one hundred twenty-three thousand, three hundred twenty".