123273120 has 96 divisors (see below), whose sum is σ = 411179328. Its totient is φ = 30937088.

The previous prime is 123273107. The next prime is 123273133. The reversal of 123273120 is 21372321.

It is an interprime number because it is at equal distance from previous prime (123273107) and next prime (123273133).

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

It is a super-2 number, since 2×123273120² = 30392524229068800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607 + ... + 15713.

It is an arithmetic number, because the mean of its divisors is an integer number (4283118).

Almost surely, 2^123273120 is an apocalyptic number.

123273120 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 123273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205589664).

123273120 is an abundant number, since it is smaller than the sum of its proper divisors (287906208).

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

123273120 is a wasteful number, since it uses less digits than its factorization.

123273120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15142 (or 15134 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 123273120 is about 11102.8428791909. The cubic root of 123273120 is about 497.6868081234.

The spelling of 123273120 in words is "one hundred twenty-three million, two hundred seventy-three thousand, one hundred twenty".