123013410 has 96 divisors (see below), whose sum is σ = 336778560. Its totient is φ = 28664064.

The previous prime is 123013409. The next prime is 123013417. The reversal of 123013410 is 14310321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123013410.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013417) 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 47 ways as a sum of consecutive naturals, for example, 95692 + ... + 96968.

It is an arithmetic number, because the mean of its divisors is an integer number (3508110).

Almost surely, 2^123013410 is an apocalyptic number.

123013410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123013410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168389280).

123013410 is an abundant number, since it is smaller than the sum of its proper divisors (213765150).

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

123013410 is a wasteful number, since it uses less digits than its factorization.

123013410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 123013410 is about 11091.1410594222. The cubic root of 123013410 is about 497.3370559697.

Adding to 123013410 its reverse (14310321), we get a palindrome (137323731).

The spelling of 123013410 in words is "one hundred twenty-three million, thirteen thousand, four hundred ten".