123772920 has 192 divisors, whose sum is σ = 408481920. Its totient is φ = 29976576.

The previous prime is 123772907. The next prime is 123772939. The reversal of 123772920 is 29277321.

It is a congruent number.

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, 1491199 + ... + 1491281.

It is an arithmetic number, because the mean of its divisors is an integer number (2127510).

Almost surely, 2^123772920 is an apocalyptic number.

123772920 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 123772920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204240960).

123772920 is an abundant number, since it is smaller than the sum of its proper divisors (284709000).

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

123772920 is a wasteful number, since it uses less digits than its factorization.

123772920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 123772920 is about 11125.3278603374. The cubic root of 123772920 is about 498.3585102535.

The spelling of 123772920 in words is "one hundred twenty-three million, seven hundred seventy-two thousand, nine hundred twenty".