123751680 has 288 divisors, whose sum is σ = 443662464. Its totient is φ = 29196288.

The previous prime is 123751679. The next prime is 123751681. The reversal of 123751680 is 86157321.

It is an interprime number because it is at equal distance from previous prime (123751679) and next prime (123751681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123751681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1847007 + ... + 1847073.

Almost surely, 2^123751680 is an apocalyptic number.

123751680 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 123751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221831232).

123751680 is an abundant number, since it is smaller than the sum of its proper divisors (319910784).

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

123751680 is a wasteful number, since it uses less digits than its factorization.

123751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 123751680 is about 11124.3732407718. The cubic root of 123751680 is about 498.3300017550.

The spelling of 123751680 in words is "one hundred twenty-three million, seven hundred fifty-one thousand, six hundred eighty".