123912961920 has 1024 divisors, whose sum is σ = 523691827200. Its totient is φ = 27338342400.

The previous prime is 123912961877. The next prime is 123912961943. The reversal of 123912961920 is 29169219321.

123912961920 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 1 + 2 + 9 + 619 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100171542 + ... + 100172778.

It is an arithmetic number, because the mean of its divisors is an integer number (511417800).

Almost surely, 2^123912961920 is an apocalyptic number.

123912961920 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 123912961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261845913600).

123912961920 is an abundant number, since it is smaller than the sum of its proper divisors (399778865280).

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

123912961920 is a wasteful number, since it uses less digits than its factorization.

123912961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 123912961920 in words is "one hundred twenty-three billion, nine hundred twelve million, nine hundred sixty-one thousand, nine hundred twenty".