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12198164112 = 243328236491
BaseRepresentation
bin10110101110001000…
…10011011010010000
31011111002222221102000
423113010103122100
5144440212222422
65334224554000
7611165453451
oct132704233220
934432887360
1012198164112
11519a600272
122445182900
1311c52282b4
1483a083128
154b5d65cac
hex2d7113690

12198164112 has 40 divisors (see below), whose sum is σ = 35013250080. Its totient is φ = 4066054560.

The previous prime is 12198164101. The next prime is 12198164119. The reversal of 12198164112 is 21146189121.

12198164112 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 8 + 1 + 641 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12198164119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14117814 + ... + 14118677.

It is an arithmetic number, because the mean of its divisors is an integer number (875331252).

Almost surely, 212198164112 is an apocalyptic number.

12198164112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12198164112 is an abundant number, since it is smaller than the sum of its proper divisors (22815085968).

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

12198164112 is a wasteful number, since it uses less digits than its factorization.

12198164112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28236508 (or 28236496 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The spelling of 12198164112 in words is "twelve billion, one hundred ninety-eight million, one hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 28236491 56472982 84709473 112945964 169418946 225891928 254128419 338837892 451783856 508256838 677675784 762385257 1016513676 1355351568 1524770514 2033027352 3049541028 4066054704 6099082056 12198164112