123345972 has 18 divisors (see below), whose sum is σ = 311791298. Its totient is φ = 41115312.

The previous prime is 123345953. The next prime is 123345991. The reversal of 123345972 is 279543321.

It is an interprime number because it is at equal distance from previous prime (123345953) and next prime (123345991).

It can be written as a sum of positive squares in only one way, i.e., 98485776 + 24860196 = 9924^2 + 4986^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3426277 = 123345972 / (1 + 2 + 3 + 3 + 4 + 5 + 9 + 7 + 2).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1713103 + ... + 1713174.

Almost surely, 2^123345972 is an apocalyptic number.

123345972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123345972 is an abundant number, since it is smaller than the sum of its proper divisors (188445326).

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

123345972 is a wasteful number, since it uses less digits than its factorization.

123345972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426287 (or 3426282 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 123345972 is about 11106.1231759782. The cubic root of 123345972 is about 497.7848298690.

The spelling of 123345972 in words is "one hundred twenty-three million, three hundred forty-five thousand, nine hundred seventy-two".