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1012221022122 = 233171972198039
BaseRepresentation
bin11101011101011010001…
…00110000111110101010
310120202201102102200012000
432232231010300332222
5113041012040201442
62053001413231430
7133062531504102
oct16565504607652
93522642380160
101012221022122
1136030a418782
12144212932576
13745b516808b
1436dc555a202
151b4e45e4d4c
hexebad130faa

1012221022122 has 128 divisors (see below), whose sum is σ = 2507708160000. Its totient is φ = 300766784256.

The previous prime is 1012221022009. The next prime is 1012221022129. The reversal of 1012221022122 is 2212201222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1012221022095 and 1012221022104.

It is not an unprimeable number, because it can be changed into a prime (1012221022129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125909779 + ... + 125917817.

It is an arithmetic number, because the mean of its divisors is an integer number (19591470000).

Almost surely, 21012221022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012221022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253854080000).

1012221022122 is an abundant number, since it is smaller than the sum of its proper divisors (1495487137878).

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

1012221022122 is a wasteful number, since it uses less digits than its factorization.

1012221022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1012221022122 its reverse (2212201222101), we get a palindrome (3224422244223).

The spelling of 1012221022122 in words is "one trillion, twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 5814 7219 8039 8721 14438 16078 17442 21657 24117 43314 48234 64971 72351 122723 129942 136663 137161 144702 152741 194913 217053 245446 273326 274322 305482 368169 389826 409989 411483 434106 458223 736338 819978 822966 916446 1104507 1229967 1234449 1374669 2209014 2331737 2459934 2468898 2596597 2749338 3313521 3689901 3703347 4124007 4663474 5193194 6627042 6995211 7379802 7406694 7789791 8248014 13990422 15579582 20985633 23369373 41971266 46738746 58033541 62956899 70108119 116067082 125913798 140216238 174100623 348201246 522301869 986570197 1044603738 1102637279 1566905607 1973140394 2205274558 2959710591 3133811214 3307911837 5919421182 6615823674 8879131773 9923735511 17758263546 18744833743 19847471022 26637395319 29771206533 37489667486 53274790638 56234501229 59542413066 112469002458 168703503687 337407007374 506110511061 1012221022122