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2120010120012 = 2232327137375989
BaseRepresentation
bin11110110110011010011…
…100110011101101001100
321111200010011001121111210
4132312122130303231030
5234213240042320022
64301530314214420
7306110553456621
oct36663234635514
97450104047453
102120010120012
11748100498254
122a2a57124410
13124bba882ac5
14748752ac348
153a22dcd1a0c
hex1ed9a733b4c

2120010120012 has 96 divisors (see below), whose sum is σ = 5194768803840. Its totient is φ = 671636655360.

The previous prime is 2120010119987. The next prime is 2120010120071. The reversal of 2120010120012 is 2100210100212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2120010120012.

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, 27860914 + ... + 27936902.

It is an arithmetic number, because the mean of its divisors is an integer number (54112175040).

Almost surely, 22120010120012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120010120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597384401920).

2120010120012 is an abundant number, since it is smaller than the sum of its proper divisors (3074758683828).

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

2120010120012 is a wasteful number, since it uses less digits than its factorization.

2120010120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76663 (or 76661 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120010120012 its reverse (2100210100212), we get a palindrome (4220220220224).

The spelling of 2120010120012 in words is "two trillion, one hundred twenty billion, ten million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 271 276 373 542 746 813 1084 1119 1492 1626 2238 3252 4476 6233 8579 12466 17158 18699 24932 25737 34316 37398 51474 74796 75989 101083 102948 151978 202166 227967 303249 303956 404332 455934 606498 911868 1212996 1747747 2324909 3495494 4649818 5243241 6974727 6990988 9299636 10486482 13949454 20593019 20972964 27898908 28343897 41186038 56687794 61779057 82372076 85031691 113375588 123558114 170063382 247116228 340126764 473639437 651909631 947278874 1303819262 1420918311 1894557748 1955728893 2607638524 2841836622 3911457786 5683673244 7681196087 7822915572 15362392174 23043588261 30724784348 46087176522 92174353044 176667510001 353335020002 530002530003 706670040004 1060005060006 2120010120012