123417001540 has 192 divisors, whose sum is σ = 330987686400. Its totient is φ = 37631361024.

The previous prime is 123417001531. The next prime is 123417001541. The reversal of 123417001540 is 45100714321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 123417001499 and 123417001508.

It is not an unprimeable number, because it can be changed into a prime (123417001541) 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, 18491644 + ... + 18498316.

It is an arithmetic number, because the mean of its divisors is an integer number (1723894200).

Almost surely, 2^123417001540 is an apocalyptic number.

123417001540 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 123417001540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165493843200).

123417001540 is an abundant number, since it is smaller than the sum of its proper divisors (207570684860).

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

123417001540 is a wasteful number, since it uses less digits than its factorization.

123417001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 123417001540 its reverse (45100714321), we get a palindrome (168517715861).

The spelling of 123417001540 in words is "one hundred twenty-three billion, four hundred seventeen million, one thousand, five hundred forty".