123240096 has 288 divisors, whose sum is σ = 434367360. Its totient is φ = 33868800.

The previous prime is 123240083. The next prime is 123240109. The reversal of 123240096 is 690042321.

It is an interprime number because it is at equal distance from previous prime (123240083) and next prime (123240109).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1735741 + ... + 1735811.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^123240096 is an apocalyptic number.

123240096 is a gapful number since it is divisible by the number (16) 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 123240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

123240096 is an abundant number, since it is smaller than the sum of its proper divisors (311127264).

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

123240096 is a wasteful number, since it uses less digits than its factorization.

123240096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 123240096 is about 11101.3555928995. The cubic root of 123240096 is about 497.6423618915.

It can be divided in two parts, 1232 and 40096, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 123240096 in words is "one hundred twenty-three million, two hundred forty thousand, ninety-six".