123202080 has 288 divisors, whose sum is σ = 460857600. Its totient is φ = 30730752.

The previous prime is 123202049. The next prime is 123202097. The reversal of 123202080 is 80202321.

It is a happy number.

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 (18).

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, 1559481 + ... + 1559559.

It is an arithmetic number, because the mean of its divisors is an integer number (1600200).

Almost surely, 2^123202080 is an apocalyptic number.

123202080 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 123202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

123202080 is an abundant number, since it is smaller than the sum of its proper divisors (337655520).

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

123202080 is a wasteful number, since it uses less digits than its factorization.

123202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123202080 is about 11099.6432375099. The cubic root of 123202080 is about 497.5911872110.

It can be divided in two parts, 1232020 and 80, that added together give a square (1232100 = 1110²).

The spelling of 123202080 in words is "one hundred twenty-three million, two hundred two thousand, eighty".