123303221120 has 64 divisors (see below), whose sum is σ = 294974403840. Its totient is φ = 49287383040.

The previous prime is 123303221081. The next prime is 123303221137. The reversal of 123303221120 is 21122303321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×123303221120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123303221092 and 123303221101.

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 7 ways as a sum of consecutive naturals, for example, 875954 + ... + 1006926.

It is an arithmetic number, because the mean of its divisors is an integer number (4608975060).

Almost surely, 2^123303221120 is an apocalyptic number.

123303221120 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 123303221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147487201920).

123303221120 is an abundant number, since it is smaller than the sum of its proper divisors (171671182720).

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

123303221120 is a wasteful number, since it uses less digits than its factorization.

123303221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132463 (or 132451 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123303221120 its reverse (21122303321), we get a palindrome (144425524441).

The spelling of 123303221120 in words is "one hundred twenty-three billion, three hundred three million, two hundred twenty-one thousand, one hundred twenty".