123201120 has 192 divisors, whose sum is σ = 455970816. Its totient is φ = 27371520.

The previous prime is 123201109. The next prime is 123201131. The reversal of 123201120 is 21102321.

It is an interprime number because it is at equal distance from previous prime (123201109) and next prime (123201131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 123201096 and 123201105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123825 + ... + 124815.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 2^123201120 is an apocalyptic number.

123201120 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 123201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

123201120 is an abundant number, since it is smaller than the sum of its proper divisors (332769696).

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

123201120 is a wasteful number, since it uses less digits than its factorization.

123201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 123201120 is about 11099.5999927925. The cubic root of 123201120 is about 497.5898947848.

Adding to 123201120 its reverse (21102321), we get a palindrome (144303441).

It can be divided in two parts, 123201 and 120, that added together give a palindrome (123321).

The spelling of 123201120 in words is "one hundred twenty-three million, two hundred one thousand, one hundred twenty".