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12199004822970 = 23257101191717819
BaseRepresentation
bin1011000110000100110101…
…0110010101110110111010
31121012012202121202120001100
42301201031112111312322
53044332030213313340
641540051230032230
72366230466053530
oct261411526256672
947165677676040
1012199004822970
113983629216849
1214502ba048676
136a649079cbc4
1430261384a150
151624cdd17830
hexb184d595dba

12199004822970 has 96 divisors (see below), whose sum is σ = 36607367422080. Its totient is φ = 2760736579200.

The previous prime is 12199004822933. The next prime is 12199004822993. The reversal of 12199004822970 is 7922840099121.

It is a happy number.

12199004822970 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 90 + 0 + 482 + 2 + 9 + 70 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95795280 + ... + 95922539.

It is an arithmetic number, because the mean of its divisors is an integer number (381326743980).

Almost surely, 212199004822970 is an apocalyptic number.

12199004822970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12199004822970 is an abundant number, since it is smaller than the sum of its proper divisors (24408362599110).

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

12199004822970 is a wasteful number, since it uses less digits than its factorization.

12199004822970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191717940 (or 191717937 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 12199004822970 in words is "twelve trillion, one hundred ninety-nine billion, four million, eight hundred twenty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 101 105 126 202 210 303 315 505 606 630 707 909 1010 1414 1515 1818 2121 3030 3535 4242 4545 6363 7070 9090 10605 12726 21210 31815 63630 191717819 383435638 575153457 958589095 1150306914 1342024733 1725460371 1917178190 2684049466 2875767285 3450920742 4026074199 5751534570 6710123665 8052148398 8627301855 12078222597 13420247330 17254603710 19363499719 20130370995 24156445194 38726999438 40260741990 58090499157 60391112985 96817498595 116180998314 120782225970 135544498033 174271497471 193634997190 271088996066 290452495785 348542994942 406633494099 580904991570 677722490165 813266988198 871357487355 1219900482297 1355444980330 1742714974710 2033167470495 2439800964594 4066334940990 6099502411485 12199004822970