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12171335940 = 22335312273203
BaseRepresentation
bin10110101010111011…
…11101100100000100
31011102020111221002000
423111131331210010
5144411330222230
65331425545300
7610421435301
oct132535754404
934366457060
1012171335940
115186446925
1224381a5230
1311bc7c3c3a
1483669c0a8
154b3816b60
hex2d577d904

12171335940 has 192 divisors, whose sum is σ = 39272325120. Its totient is φ = 3126176640.

The previous prime is 12171335933. The next prime is 12171335987. The reversal of 12171335940 is 4953317121.

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 = 12171335895 and 12171335904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3798379 + ... + 3801581.

It is an arithmetic number, because the mean of its divisors is an integer number (204543360).

Almost surely, 212171335940 is an apocalyptic number.

12171335940 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 12171335940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19636162560).

12171335940 is an abundant number, since it is smaller than the sum of its proper divisors (27100989180).

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

12171335940 is a wasteful number, since it uses less digits than its factorization.

12171335940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12171335940 in words is "twelve billion, one hundred seventy-one million, three hundred thirty-five thousand, nine hundred forty".