123261642 has 128 divisors (see below), whose sum is σ = 330055680. Its totient is φ = 33359040.

The previous prime is 123261637. The next prime is 123261647. The reversal of 123261642 is 246162321.

123261642 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 616 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (123261637) and next prime (123261647).

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

It is not an unprimeable number, because it can be changed into a prime (123261647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785028 + ... + 785184.

It is an arithmetic number, because the mean of its divisors is an integer number (2578560).

Almost surely, 2^123261642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123261642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165027840).

123261642 is an abundant number, since it is smaller than the sum of its proper divisors (206794038).

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

123261642 is a wasteful number, since it uses less digits than its factorization.

123261642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 123261642 is about 11102.3259725158. The cubic root of 123261642 is about 497.6713610509.

The spelling of 123261642 in words is "one hundred twenty-three million, two hundred sixty-one thousand, six hundred forty-two".