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12212412103044 = 22331754617121787
BaseRepresentation
bin1011000110110110110001…
…1111000011100110000100
31121020111100222220221202000
42301231230133003212010
53100042004444244134
641550145450345300
72400213646053606
oct261555437034604
947214328827660
1012212412103044
1139892892897aa
121452a2012b230
136a7819361a1a
14303126313176
15162a15db9e99
hexb1b6c7c3984

12212412103044 has 96 divisors (see below), whose sum is σ = 33525157599360. Its totient is φ = 3831243365376.

The previous prime is 12212412102929. The next prime is 12212412103093. The reversal of 12212412103044 is 44030121421221.

12212412103044 is a `hidden beast` number, since 1 + 2 + 212 + 412 + 1 + 0 + 30 + 4 + 4 = 666.

12212412103044 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 12212412102999 and 12212412103017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100215919 + ... + 100337705.

It is an arithmetic number, because the mean of its divisors is an integer number (349220391660).

Almost surely, 212212412103044 is an apocalyptic number.

It is an amenable number.

12212412103044 is an abundant number, since it is smaller than the sum of its proper divisors (21312745496316).

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

12212412103044 is a wasteful number, since it uses less digits than its factorization.

12212412103044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176434 (or 176426 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12212412103044 its reverse (44030121421221), we get a palindrome (56242533524265).

The spelling of 12212412103044 in words is "twelve trillion, two hundred twelve billion, four hundred twelve million, one hundred three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 54617 109234 121787 163851 218468 243574 327702 365361 487148 491553 655404 730722 928489 983106 1096083 1461444 1474659 1856978 1966212 2070379 2192166 2785467 2949318 3288249 3713956 4140758 4384332 5570934 5898636 6211137 6576498 8281516 8356401 11141868 12422274 13152996 16712802 18633411 24844548 25069203 33425604 37266822 50138406 55900233 74533644 100276812 111800466 223600932 6651640579 13303281158 19954921737 26606562316 39909843474 59864765211 79819686948 113077889843 119729530422 179594295633 226155779686 239459060844 339233669529 359188591266 452311559372 678467339058 718377182532 1017701008587 1356934678116 2035402017174 3053103025761 4070804034348 6106206051522 12212412103044