123601867920 has 320 divisors, whose sum is σ = 431034912000. Its totient is φ = 32552755200.

The previous prime is 123601867903. The next prime is 123601867931. The reversal of 123601867920 is 29768106321.

123601867920 is a `hidden beast` number, since 12 + 3 + 601 + 8 + 6 + 7 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85183195 + ... + 85184645.

It is an arithmetic number, because the mean of its divisors is an integer number (1346984100).

Almost surely, 2^123601867920 is an apocalyptic number.

123601867920 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 123601867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215517456000).

123601867920 is an abundant number, since it is smaller than the sum of its proper divisors (307433044080).

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

123601867920 is a wasteful number, since it uses less digits than its factorization.

123601867920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 123601867920 in words is "one hundred twenty-three billion, six hundred one million, eight hundred sixty-seven thousand, nine hundred twenty".