123120096 has 96 divisors (see below), whose sum is σ = 364041216. Its totient is φ = 36096000.

The previous prime is 123120091. The next prime is 123120131. The reversal of 123120096 is 690021321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123120091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30856 + ... + 34616.

It is an arithmetic number, because the mean of its divisors is an integer number (3792096).

Almost surely, 2^123120096 is an apocalyptic number.

123120096 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 123120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182020608).

123120096 is an abundant number, since it is smaller than the sum of its proper divisors (240921120).

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

123120096 is a wasteful number, since it uses less digits than its factorization.

123120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 123120096 is about 11095.9495312479. The cubic root of 123120096 is about 497.4807898107.

The spelling of 123120096 in words is "one hundred twenty-three million, one hundred twenty thousand, ninety-six".