123101400240 has 640 divisors, whose sum is σ = 523946465280. Its totient is φ = 25869570048.

The previous prime is 123101400217. The next prime is 123101400271. The reversal of 123101400240 is 42004101321.

123101400240 is a `hidden beast` number, since 1 + 23 + 1 + 0 + 1 + 400 + 240 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55625374 + ... + 55627586.

It is an arithmetic number, because the mean of its divisors is an integer number (818666352).

Almost surely, 2^123101400240 is an apocalyptic number.

123101400240 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 123101400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261973232640).

123101400240 is an abundant number, since it is smaller than the sum of its proper divisors (400845065040).

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

123101400240 is a wasteful number, since it uses less digits than its factorization.

123101400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2526 counting only the distinct ones).

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

Adding to 123101400240 its reverse (42004101321), we get a palindrome (165105501561).

The spelling of 123101400240 in words is "one hundred twenty-three billion, one hundred one million, four hundred thousand, two hundred forty".