123567220 has 72 divisors (see below), whose sum is σ = 319656456. Its totient is φ = 39868416.

The previous prime is 123567211. The next prime is 123567263. The reversal of 123567220 is 22765321.

123567220 = T₂₃₀ + T₂₃₁ + ... + T₉₀₉.

It can be written as a sum of positive squares in 4 ways, for example, as 44036496 + 79530724 = 6636^2 + 8918^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12952 + ... + 20368.

It is an arithmetic number, because the mean of its divisors is an integer number (4439673).

Almost surely, 2^123567220 is an apocalyptic number.

123567220 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 123567220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159828228).

123567220 is an abundant number, since it is smaller than the sum of its proper divisors (196089236).

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

123567220 is a wasteful number, since it uses less digits than its factorization.

123567220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7457 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 123567220 is about 11116.0793448050. The cubic root of 123567220 is about 498.0822807762.

The spelling of 123567220 in words is "one hundred twenty-three million, five hundred sixty-seven thousand, two hundred twenty".