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20120210002212 = 223172511733226741
BaseRepresentation
bin1001001001100100110011…
…11110000101000100100100
32122020110210000210100000220
410210302121332011010210
510114122142230032322
6110443032531404340
74144431363130425
oct444623176050444
978213700710026
1020120210002212
116457a2a016a01
12230b5217536b0
13b2c434b47c68
144d7b7542b64c
1524d58d4be55c
hex124c99f85124

20120210002212 has 96 divisors (see below), whose sum is σ = 49935815121024. Its totient is φ = 6283418880000.

The previous prime is 20120210002181. The next prime is 20120210002241. The reversal of 20120210002212 is 21220001202102.

It is a super-2 number, since 2×201202100022122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20120210002191 and 20120210002200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88623162 + ... + 88849902.

It is an arithmetic number, because the mean of its divisors is an integer number (520164740844).

Almost surely, 220120210002212 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 20120210002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24967907560512).

20120210002212 is an abundant number, since it is smaller than the sum of its proper divisors (29815605118812).

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

20120210002212 is a wasteful number, since it uses less digits than its factorization.

20120210002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228749 (or 228747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20120210002212 its reverse (21220001202102), we get a palindrome (41340211204314).

The spelling of 20120210002212 in words is "twenty trillion, one hundred twenty billion, two hundred ten million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 251 502 753 1004 1506 1733 3012 3466 4267 5199 6932 8534 10398 12801 17068 20796 25602 29461 51204 58922 88383 117844 176766 226741 353532 434983 453482 680223 869966 906964 1304949 1360446 1739932 2609898 2720892 3854597 5219796 7394711 7709194 11563791 14789422 15418388 22184133 23127582 29578844 44368266 46255164 56911991 88736532 113823982 170735973 227647964 341471946 392942153 682943892 785884306 967503847 1178826459 1571768612 1935007694 2357652918 2902511541 3870015388 4715305836 5805023082 6680016601 11610046164 13360033202 20040049803 26720066404 40080099606 80160199212 98628480403 197256960806 295885441209 394513921612 591770882418 1183541764836 1676684166851 3353368333702 5030052500553 6706736667404 10060105001106 20120210002212