123042100 has 72 divisors (see below), whose sum is σ = 290259200. Its totient is φ = 45100800.

The previous prime is 123042071. The next prime is 123042109. The reversal of 123042100 is 1240321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123042109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57856 + ... + 59944.

Almost surely, 2^123042100 is an apocalyptic number.

123042100 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 123042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145129600).

123042100 is an abundant number, since it is smaller than the sum of its proper divisors (167217100).

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

123042100 is a wasteful number, since it uses less digits than its factorization.

123042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 123042100 is about 11092.4343586068. The cubic root of 123042100 is about 497.3757170420.

Adding to 123042100 its reverse (1240321), we get a palindrome (124282421).

The spelling of 123042100 in words is "one hundred twenty-three million, forty-two thousand, one hundred".