123729060 has 384 divisors, whose sum is σ = 476872704. Its totient is φ = 23224320.

The previous prime is 123729049. The next prime is 123729113. The reversal of 123729060 is 60927321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2877399 + ... + 2877441.

It is an arithmetic number, because the mean of its divisors is an integer number (1241856).

Almost surely, 2^123729060 is an apocalyptic number.

123729060 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 123729060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238436352).

123729060 is an abundant number, since it is smaller than the sum of its proper divisors (353143644).

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

123729060 is a wasteful number, since it uses less digits than its factorization.

123729060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 123729060 is about 11123.3565078172. The cubic root of 123729060 is about 498.2996374224.

The spelling of 123729060 in words is "one hundred twenty-three million, seven hundred twenty-nine thousand, sixty".