123072458826240 has 3840 divisors, whose sum is σ = 583525223424000. Its totient is φ = 23196079226880.

The previous prime is 123072458826227. The next prime is 123072458826241. The reversal of 123072458826240 is 42628854270321.

123072458826240 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 7 + 2 + 4 + 5 + 8 + 8 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is not an unprimeable number, because it can be changed into a prime (123072458826241) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 133919976501 + ... + 133919977419.

It is an arithmetic number, because the mean of its divisors is an integer number (151959693600).

Almost surely, 2^{123072458826240} is an apocalyptic number.

123072458826240 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 123072458826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291762611712000).

123072458826240 is an abundant number, since it is smaller than the sum of its proper divisors (460452764597760).

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

123072458826240 is a wasteful number, since it uses less digits than its factorization.

123072458826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 123072458826240 in words is "one hundred twenty-three trillion, seventy-two billion, four hundred fifty-eight million, eight hundred twenty-six thousand, two hundred forty".