123670609920 has 1920 divisors, whose sum is σ = 570743470080. Its totient is φ = 24914165760.

The previous prime is 123670609847. The next prime is 123670609927. The reversal of 123670609920 is 29906076321.

It is a happy number.

123670609920 is a `hidden beast` number, since 1 + 2 + 36 + 7 + 0 + 609 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123670609927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5376983029 + ... + 5376983051.

It is an arithmetic number, because the mean of its divisors is an integer number (297262224).

Almost surely, 2^123670609920 is an apocalyptic number.

123670609920 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 123670609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285371735040).

123670609920 is an abundant number, since it is smaller than the sum of its proper divisors (447072860160).

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

123670609920 is a wasteful number, since it uses less digits than its factorization.

123670609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 123670609920 in words is "one hundred twenty-three billion, six hundred seventy million, six hundred nine thousand, nine hundred twenty".