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12190935680 = 275711247381
BaseRepresentation
bin10110101101010001…
…01110101010000000
31011110121101200212022
423112220232222000
5144431334420210
65333410021012
7611050146350
oct132650565200
934417350768
1012190935680
115196513460
122442877768
1311c3897111
14839120b60
154b53d9155
hex2d6a2ea80

12190935680 has 128 divisors (see below), whose sum is σ = 36335468160. Its totient is φ = 3799756800.

The previous prime is 12190935599. The next prime is 12190935689. The reversal of 12190935680 is 8653909121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (12190935689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74411 + ... + 172970.

It is an arithmetic number, because the mean of its divisors is an integer number (283870845).

Almost surely, 212190935680 is an apocalyptic number.

12190935680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12190935680 is an abundant number, since it is smaller than the sum of its proper divisors (24144532480).

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

12190935680 is a wasteful number, since it uses less digits than its factorization.

12190935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247418 (or 247406 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 12190935680 in words is "twelve billion, one hundred ninety million, nine hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 49280 247381 494762 989524 1236905 1731667 1979048 2473810 2721191 3463334 3958096 4947620 5442382 6926668 7916192 8658335 9895240 10884764 13605955 13853336 15832384 17316670 19048337 19790480 21769528 27211910 27706672 31664768 34633340 38096674 39580960 43539056 54423820 55413344 69266680 76193348 79161920 87078112 95241685 108847640 110826688 138533360 152386696 158323840 174156224 190483370 217695280 221653376 277066720 304773392 348312448 380966740 435390560 554133440 609546784 761933480 870781120 1108266880 1219093568 1523866960 1741562240 2438187136 3047733920 6095467840 12190935680