123042010410 has 192 divisors, whose sum is σ = 362133697536. Its totient is φ = 28715212800.

The previous prime is 123042010387. The next prime is 123042010459. The reversal of 123042010410 is 14010240321.

123042010410 is a `hidden beast` number, since 1 + 230 + 4 + 20 + 1 + 0 + 410 = 666.

It is a super-3 number, since 3×123042010410³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5912784 + ... + 5933556.

It is an arithmetic number, because the mean of its divisors is an integer number (1886113008).

Almost surely, 2^123042010410 is an apocalyptic number.

123042010410 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 123042010410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181066848768).

123042010410 is an abundant number, since it is smaller than the sum of its proper divisors (239091687126).

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

123042010410 is a wasteful number, since it uses less digits than its factorization.

123042010410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21021 (or 21018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 123042010410 its reverse (14010240321), we get a palindrome (137052250731).

The spelling of 123042010410 in words is "one hundred twenty-three billion, forty-two million, ten thousand, four hundred ten".