12065414940 has 240 divisors, whose sum is σ = 38877300000. Its totient is φ = 3131301888.

The previous prime is 12065414929. The next prime is 12065414971. The reversal of 12065414940 is 4941456021.

12065414940 is a `hidden beast` number, since 1 + 20 + 6 + 541 + 4 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12065414895 and 12065414904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9659436 + ... + 9660684.

It is an arithmetic number, because the mean of its divisors is an integer number (161988750).

Almost surely, 2^12065414940 is an apocalyptic number.

12065414940 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 12065414940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19438650000).

12065414940 is an abundant number, since it is smaller than the sum of its proper divisors (26811885060).

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

12065414940 is a wasteful number, since it uses less digits than its factorization.

12065414940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12065414940 in words is "twelve billion, sixty-five million, four hundred fourteen thousand, nine hundred forty".