123132020 has 144 divisors (see below), whose sum is σ = 312503184. Its totient is φ = 40550400.

The previous prime is 123132019. The next prime is 123132047. The reversal of 123132020 is 20231321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3579664 + 119552356 = 1892^2 + 10934^2 .

It is a super-2 number, since 2×123132020² = 30322988698560800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123131986 and 123132004.

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, 1686704 + ... + 1686776.

It is an arithmetic number, because the mean of its divisors is an integer number (2170161).

Almost surely, 2^123132020 is an apocalyptic number.

123132020 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 123132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156251592).

123132020 is an abundant number, since it is smaller than the sum of its proper divisors (189371164).

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

123132020 is a wasteful number, since it uses less digits than its factorization.

123132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123132020 is about 11096.4868314255. The cubic root of 123132020 is about 497.4968493862.

Adding to 123132020 its reverse (20231321), we get a palindrome (143363341).

The spelling of 123132020 in words is "one hundred twenty-three million, one hundred thirty-two thousand, twenty".