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12195160740 = 2234572346757
BaseRepresentation
bin10110101101110001…
…10110001010100100
31011110220100100120000
423112320312022210
5144433430120430
65334040341300
7611131104330
oct132670661244
934426310500
1012195160740
115198939844
122444174830
1311c4716259
148399007c0
154b5970e60
hex2d6e362a4

12195160740 has 240 divisors, whose sum is σ = 45623837952. Its totient is φ = 2666214144.

The previous prime is 12195160729. The next prime is 12195160777. The reversal of 12195160740 is 4706159121.

12195160740 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 5 + 1 + 607 + 40 = 666.

12195160740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12195160695 and 12195160704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 237442 + ... + 284198.

Almost surely, 212195160740 is an apocalyptic number.

12195160740 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 12195160740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811918976).

12195160740 is an abundant number, since it is smaller than the sum of its proper divisors (33428677212).

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

12195160740 is a wasteful number, since it uses less digits than its factorization.

12195160740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46808 (or 46797 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 12195160740 in words is "twelve billion, one hundred ninety-five million, one hundred sixty thousand, seven hundred forty".