123126840 has 192 divisors, whose sum is σ = 431308800. Its totient is φ = 30364416.

The previous prime is 123126833. The next prime is 123126841. The reversal of 123126840 is 48621321.

123126840 = T₁₁ + T₁₂ + ... + T₉₀₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123126841) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 321289 + ... + 321671.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 2^123126840 is an apocalyptic number.

123126840 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 123126840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654400).

123126840 is an abundant number, since it is smaller than the sum of its proper divisors (308181960).

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

123126840 is a wasteful number, since it uses less digits than its factorization.

123126840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

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

The square root of 123126840 is about 11096.2534217636. The cubic root of 123126840 is about 497.4898729452.

The spelling of 123126840 in words is "one hundred twenty-three million, one hundred twenty-six thousand, eight hundred forty".