12123095040 has 840 divisors, whose sum is σ = 51572636640. Its totient is φ = 2675441664.

The previous prime is 12123095003. The next prime is 12123095087. The reversal of 12123095040 is 4059032121.

12123095040 is a `hidden beast` number, since 121 + 2 + 30 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12123094995 and 12123095013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 418037746 + ... + 418037774.

It is an arithmetic number, because the mean of its divisors is an integer number (61395996).

Almost surely, 2^12123095040 is an apocalyptic number.

12123095040 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 12123095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25786318320).

12123095040 is an abundant number, since it is smaller than the sum of its proper divisors (39449541600).

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

12123095040 is an frugal number, since it uses more digits than its factorization.

12123095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12123095040 in words is "twelve billion, one hundred twenty-three million, ninety-five thousand, forty".