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1222121101012 = 2272324119310427
BaseRepresentation
bin10001110010001100000…
…110000001011011010100
311022211111201110110210221
4101302030012001123110
5130010401000213022
62333233520324124
7154203204646630
oct21621406013324
94284451413727
101222121101012
11431331556759
12178a31a73644
138b32655aaa6
14432183cddc0
1521bcbc8acc7
hex11c8c1816d4

1222121101012 has 144 divisors (see below), whose sum is σ = 2631268708992. Its totient is φ = 486195240960.

The previous prime is 1222121101007. The next prime is 1222121101039. The reversal of 1222121101012 is 2101011212221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117202143 + ... + 117212569.

It is an arithmetic number, because the mean of its divisors is an integer number (18272699368).

Almost surely, 21222121101012 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 1222121101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315634354496).

1222121101012 is an abundant number, since it is smaller than the sum of its proper divisors (1409147607980).

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

1222121101012 is a wasteful number, since it uses less digits than its factorization.

1222121101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10718 (or 10693 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1222121101012 its reverse (2101011212221), we get a palindrome (3323132313233).

The spelling of 1222121101012 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, twelve".

Divisors: 1 2 4 7 14 23 28 41 46 82 92 161 164 193 287 322 386 529 574 644 772 943 1058 1148 1351 1886 2116 2702 3703 3772 4439 5404 6601 7406 7913 8878 10427 13202 14812 15826 17756 20854 21689 26404 31073 31652 41708 43378 55391 62146 72989 86756 102097 110782 124292 145978 151823 181999 204194 221564 239821 291956 303646 363998 408388 427507 479642 607292 714679 727996 855014 959284 1273993 1429358 1678747 1710028 2012411 2547986 2858716 2992549 3357494 4024822 4185977 5095972 5515883 5985098 6714988 8049644 8371954 9832661 11031766 11970196 14086877 16743908 19665322 22063532 28173754 29301839 38611181 39330644 46285453 56347508 58603678 68828627 77222362 82508851 92570906 117207356 137657254 154444724 165017702 185141812 226151203 275314508 323998171 330035404 452302406 577561957 647996342 904604812 1064565419 1155123914 1295992684 1583058421 1897703573 2129130838 2310247828 3166116842 3795407146 4258261676 6332233684 7451957933 7590814292 13283925011 14903915866 26567850022 29807831732 43647182179 53135700044 87294364358 174588728716 305530275253 611060550506 1222121101012