123142680 has 224 divisors, whose sum is σ = 429680160. Its totient is φ = 31726080.

The previous prime is 123142673. The next prime is 123142687. The reversal of 123142680 is 86241321.

123142680 is a `hidden beast` number, since 1 + 231 + 426 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123142673) and next prime (123142687).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123142687) 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 55 ways as a sum of consecutive naturals, for example, 1195509 + ... + 1195611.

It is an arithmetic number, because the mean of its divisors is an integer number (1918215).

Almost surely, 2^123142680 is an apocalyptic number.

123142680 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 123142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214840080).

123142680 is an abundant number, since it is smaller than the sum of its proper divisors (306537480).

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

123142680 is a wasteful number, since it uses less digits than its factorization.

123142680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123142680 is about 11096.9671532361. The cubic root of 123142680 is about 497.5112056936.

The spelling of 123142680 in words is "one hundred twenty-three million, one hundred forty-two thousand, six hundred eighty".