123201792 has 108 divisors (see below), whose sum is σ = 406020160. Its totient is φ = 35195904.

The previous prime is 123201787. The next prime is 123201809. The reversal of 123201792 is 297102321.

It is a super-2 number, since 2×123201792² = 30357363104022528, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12309 + ... + 19947.

Almost surely, 2^123201792 is an apocalyptic number.

123201792 is a gapful number since it is divisible by the number (12) 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 123201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203010080).

123201792 is an abundant number, since it is smaller than the sum of its proper divisors (282818368).

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

123201792 is an equidigital number, since it uses as much as digits as its factorization.

123201792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 123201792 is about 11099.6302641124. The cubic root of 123201792 is about 497.5907994839.

The spelling of 123201792 in words is "one hundred twenty-three million, two hundred one thousand, seven hundred ninety-two".