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12101123001132 = 223211276111106747
BaseRepresentation
bin1011000000011000001100…
…1000110100101100101100
31120211212010001211210222200
42300012003020310230230
53041231044442014012
641423102410541500
72356164052232544
oct260060310645454
946755101753880
1012101123001132
11394606a505310
121435341737890
1369a191a74429
142db9a9c48324
1515eba0a363dc
hexb0183234b2c

12101123001132 has 72 divisors (see below), whose sum is σ = 33371002147392. Its totient is φ = 3666870847200.

The previous prime is 12101123001089. The next prime is 12101123001139. The reversal of 12101123001132 is 23110032110121.

12101123001132 is a `hidden beast` number, since 1 + 210 + 112 + 300 + 11 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12101123001139) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10380583 + ... + 11487329.

It is an arithmetic number, because the mean of its divisors is an integer number (463486140936).

Almost surely, 212101123001132 is an apocalyptic number.

12101123001132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101123001132 is an abundant number, since it is smaller than the sum of its proper divisors (21269879146260).

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

12101123001132 is a wasteful number, since it uses less digits than its factorization.

12101123001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134379 (or 1134374 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12101123001132 its reverse (23110032110121), we get a palindrome (35211155111253).

The spelling of 12101123001132 in words is "twelve trillion, one hundred one billion, one hundred twenty-three million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 27611 55222 82833 110444 165666 248499 303721 331332 496998 607442 911163 993996 1106747 1214884 1822326 2213494 2733489 3320241 3644652 4426988 5466978 6640482 9960723 10933956 12174217 13280964 19921446 24348434 36522651 39842892 48696868 73045302 109567953 146090604 219135906 438271812 30558391417 61116782834 91675174251 122233565668 183350348502 275025522753 336142305587 366700697004 550051045506 672284611174 1008426916761 1100102091012 1344569222348 2016853833522 3025280750283 4033707667044 6050561500566 12101123001132