123368780240 has 40 divisors (see below), whose sum is σ = 293828334408. Its totient is φ = 48143912960.

The previous prime is 123368780219. The next prime is 123368780279. The reversal of 123368780240 is 42087863321.

123368780240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5134582336 + 118234197904 = 71656^2 + 343852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 123368780191 and 123368780200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18802937 + ... + 18809496.

Almost surely, 2^123368780240 is an apocalyptic number.

123368780240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123368780240 is an abundant number, since it is smaller than the sum of its proper divisors (170459554168).

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

123368780240 is a wasteful number, since it uses less digits than its factorization.

123368780240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37612487 (or 37612481 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 123368780240 in words is "one hundred twenty-three billion, three hundred sixty-eight million, seven hundred eighty thousand, two hundred forty".