123750820 has 48 divisors (see below), whose sum is σ = 277684848. Its totient is φ = 46161920.

The previous prime is 123750793. The next prime is 123750821. The reversal of 123750820 is 28057321.

It can be written as a sum of positive squares in 8 ways, for example, as 1382976 + 122367844 = 1176^2 + 11062^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (123750821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36810 + ... + 40030.

It is an arithmetic number, because the mean of its divisors is an integer number (5785101).

Almost surely, 2^123750820 is an apocalyptic number.

123750820 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 123750820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138842424).

123750820 is an abundant number, since it is smaller than the sum of its proper divisors (153934028).

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

123750820 is a wasteful number, since it uses less digits than its factorization.

123750820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 123750820 is about 11124.3345868416. The cubic root of 123750820 is about 498.3288473874.

The spelling of 123750820 in words is "one hundred twenty-three million, seven hundred fifty thousand, eight hundred twenty".