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122111020122 = 23713616195923
BaseRepresentation
bin111000110111001100…
…0100100110001011010
3102200012010102112200220
41301232120210301122
54000040410120442
6132032542540510
711552011355010
oct1615630446132
9380163375626
10122111020122
114787253a853
121b7ba897736
13b6906631c0
145ca58608b0
15329a497eec
hex1c6e624c5a

122111020122 has 128 divisors (see below), whose sum is σ = 306053744640. Its totient is φ = 31620637440.

The previous prime is 122111020103. The next prime is 122111020159. The reversal of 122111020122 is 221020111221.

It is a super-2 number, since 2×1221110201222 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20613453 + ... + 20619375.

It is an arithmetic number, because the mean of its divisors is an integer number (2391044880).

Almost surely, 2122111020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122111020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153026872320).

122111020122 is an abundant number, since it is smaller than the sum of its proper divisors (183942724518).

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

122111020122 is a wasteful number, since it uses less digits than its factorization.

122111020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6628.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122111020122 its reverse (221020111221), we get a palindrome (343131131343).

The spelling of 122111020122 in words is "one hundred twenty-two billion, one hundred eleven million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 182 183 273 366 427 546 619 793 854 1238 1281 1586 1857 2379 2562 3714 4333 4758 5551 5923 8047 8666 11102 11846 12999 16094 16653 17769 24141 25998 33306 35538 37759 41461 48282 56329 75518 76999 82922 112658 113277 124383 153998 168987 226554 230997 248766 264313 337974 361303 461994 490867 528626 538993 722606 792939 981734 1077986 1083909 1472601 1585878 1616979 2167818 2529121 2945202 3233958 3436069 3666337 4696939 5058242 6872138 7332674 7587363 9393878 10308207 10999011 14090817 15174726 20616414 21998022 25664359 28181634 32878573 47662381 51328718 65757146 76993077 95324762 98635719 142987143 153986154 197271438 223646557 285974286 333636667 447293114 667273334 670939671 1000910001 1341879342 1565525899 2001820002 2907405241 3131051798 4696577697 5814810482 8722215723 9393155394 17444431446 20351836687 40703673374 61055510061 122111020122