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12121991424 = 28325878963
BaseRepresentation
bin10110100101000011…
…01110100100000000
31011021210122222010100
423102201232210000
5144311212211144
65322504202400
7606252140604
oct132241564400
934253588110
1012121991424
115160603634
122423769400
1311b2507cba
1482dcd5504
154ae31b269
hex2d286e900

12121991424 has 108 divisors (see below), whose sum is σ = 35014136976. Its totient is φ = 4033330176.

The previous prime is 12121991419. The next prime is 12121991443. The reversal of 12121991424 is 42419912121.

12121991424 is a `hidden beast` number, since 1 + 212 + 19 + 9 + 1 + 424 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1347967 + ... + 1356929.

It is an arithmetic number, because the mean of its divisors is an integer number (324204972).

Almost surely, 212121991424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121991424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507068488).

12121991424 is an abundant number, since it is smaller than the sum of its proper divisors (22892145552).

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

12121991424 is an equidigital number, since it uses as much as digits as its factorization.

12121991424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9572 (or 9555 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 12121991424 in words is "twelve billion, one hundred twenty-one million, nine hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 587 768 1152 1174 1761 2304 2348 3522 4696 5283 7044 8963 9392 10566 14088 17926 18784 21132 26889 28176 35852 37568 42264 53778 56352 71704 75136 80667 84528 107556 112704 143408 150272 161334 169056 215112 225408 286816 322668 338112 430224 450816 573632 645336 676224 860448 1147264 1290672 1352448 1720896 2294528 2581344 3441792 5162688 5261281 6883584 10325376 10522562 15783843 20650752 21045124 31567686 42090248 47351529 63135372 84180496 94703058 126270744 168360992 189406116 252541488 336721984 378812232 505082976 673443968 757624464 1010165952 1346887936 1515248928 2020331904 3030497856 4040663808 6060995712 12121991424