123012072 has 48 divisors (see below), whose sum is σ = 333723780. Its totient is φ = 40934400.

The previous prime is 123012053. The next prime is 123012083. The reversal of 123012072 is 270210321.

It can be written as a sum of positive squares in 2 ways, for example, as 119115396 + 3896676 = 10914^2 + 1974^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58072 + ... + 60152.

Almost surely, 2^123012072 is an apocalyptic number.

123012072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123012072 is an abundant number, since it is smaller than the sum of its proper divisors (210711708).

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

123012072 is a wasteful number, since it uses less digits than its factorization.

123012072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 123012072 is about 11091.0807408476. The cubic root of 123012072 is about 497.3352528075.

Adding to 123012072 its reverse (270210321), we get a palindrome (393222393).

The spelling of 123012072 in words is "one hundred twenty-three million, twelve thousand, seventy-two".