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12210201192 = 2337192201329
BaseRepresentation
bin10110101111100100…
…01110001001101000
31011111221122111011210
423113302032021220
5200001302414232
65335334553120
7611402666130
oct132762161150
934457574153
1012210201192
1151a6381972
1224492087a0
1311c7881127
1483b8d7ac0
154b6e425cc
hex2d7c8e268

12210201192 has 96 divisors (see below), whose sum is σ = 36819230400. Its totient is φ = 3305000448.

The previous prime is 12210201149. The next prime is 12210201197. The reversal of 12210201192 is 29110201221.

12210201192 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 (21).

It is not an unprimeable number, because it can be changed into a prime (12210201197) 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, 40017 + ... + 161312.

It is an arithmetic number, because the mean of its divisors is an integer number (383533650).

Almost surely, 212210201192 is an apocalyptic number.

12210201192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12210201192 is an abundant number, since it is smaller than the sum of its proper divisors (24609029208).

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

12210201192 is a wasteful number, since it uses less digits than its factorization.

12210201192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201383 (or 201360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 12210201192 in words is "twelve billion, two hundred ten million, two hundred one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 361 399 456 532 722 798 1064 1083 1444 1596 2166 2527 2888 3192 4332 5054 7581 8664 10108 15162 20216 30324 60648 201329 402658 603987 805316 1207974 1409303 1610632 2415948 2818606 3825251 4227909 4831896 5637212 7650502 8455818 11274424 11475753 15301004 16911636 22951506 26776757 30602008 33823272 45903012 53553514 72679769 80330271 91806024 107107028 145359538 160660542 214214056 218039307 290719076 321321084 436078614 508758383 581438152 642642168 872157228 1017516766 1526275149 1744314456 2035033532 3052550298 4070067064 6105100596 12210201192