123535120 has 40 divisors (see below), whose sum is σ = 290081880. Its totient is φ = 48921600.

The previous prime is 123535057. The next prime is 123535133. The reversal of 123535120 is 21535321.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 74926336 = 6972^2 + 8656^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 123535091 and 123535100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436 + ... + 15724.

It is an arithmetic number, because the mean of its divisors is an integer number (7252047).

Almost surely, 2^123535120 is an apocalyptic number.

123535120 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 123535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145040940).

123535120 is an abundant number, since it is smaller than the sum of its proper divisors (166546760).

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

123535120 is a wasteful number, since it uses less digits than its factorization.

123535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15403 (or 15397 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 123535120 is about 11114.6353966291. The cubic root of 123535120 is about 498.0391468288.

The spelling of 123535120 in words is "one hundred twenty-three million, five hundred thirty-five thousand, one hundred twenty".