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132112221102120 = 233571071469873399
BaseRepresentation
bin11110000010011111000110…
…000000100110000000101000
3122022202210201211122210102110
4132002133012000212000220
5114304011312100231440
61144551303322402320
736553535665635420
oct3602370600460050
9568683654583373
10132112221102120
1139105529721006
12129982976603a0
13589418a525a5c
14248a3a0c03480
15104181e658080
hex7827c6026028

132112221102120 has 128 divisors (see below), whose sum is σ = 457189422336000. Its totient is φ = 29914863396096.

The previous prime is 132112221102097. The next prime is 132112221102133. The reversal of 132112221102120 is 21201122211231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 734846820 + ... + 735026579.

It is an arithmetic number, because the mean of its divisors is an integer number (3571792362000).

Almost surely, 2132112221102120 is an apocalyptic number.

132112221102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132112221102120 is an abundant number, since it is smaller than the sum of its proper divisors (325077201233880).

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

132112221102120 is a wasteful number, since it uses less digits than its factorization.

132112221102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469873527 (or 1469873523 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 132112221102120 its reverse (21201122211231), we get a palindrome (153313343313351).

The spelling of 132112221102120 in words is "one hundred thirty-two trillion, one hundred twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 107 120 140 168 210 214 280 321 420 428 535 642 749 840 856 1070 1284 1498 1605 2140 2247 2568 2996 3210 3745 4280 4494 5992 6420 7490 8988 11235 12840 14980 17976 22470 29960 44940 89880 1469873399 2939746798 4409620197 5879493596 7349366995 8819240394 10289113793 11758987192 14698733990 17638480788 20578227586 22048100985 29397467980 30867341379 35276961576 41156455172 44096201970 51445568965 58794935960 61734682758 82312910344 88192403940 102891137930 123469365516 154336706895 157276453693 176384807880 205782275860 246938731032 308673413790 314552907386 411564551720 471829361079 617346827580 629105814772 786382268465 943658722158 1100935175851 1234693655160 1258211629544 1572764536930 1887317444316 2201870351702 2359146805395 3145529073860 3302805527553 3774634888632 4403740703404 4718293610790 5504675879255 6291058147720 6605611055106 8807481406808 9436587221580 11009351758510 13211222110212 16514027637765 18873174443160 22018703517020 26422444220424 33028055275530 44037407034040 66056110551060 132112221102120