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11221022121012 = 22321177023367889
BaseRepresentation
bin1010001101001001100100…
…0010011001110000110100
31110201201102022202202111100
42203102121002121300310
52432321123130333022
635510511050410100
72235456250210014
oct243223102316064
943651368682440
1011221022121012
113636899501840
121312861730930
136351a3b01992
142ab1595a7c44
15146d4049a1ac
hexa3499099c34

11221022121012 has 72 divisors (see below), whose sum is σ = 30943304421120. Its totient is φ = 3400256344320.

The previous prime is 11221022120981. The next prime is 11221022121013. The reversal of 11221022121012 is 21012122012211.

11221022121012 is a `hidden beast` number, since 1 + 1 + 221 + 0 + 221 + 210 + 12 = 666.

It is a super-2 number, since 2×112210221210122 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221022121013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30317164 + ... + 30685052.

It is an arithmetic number, because the mean of its divisors is an integer number (429768116960).

Almost surely, 211221022121012 is an apocalyptic number.

11221022121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11221022121012 is an abundant number, since it is smaller than the sum of its proper divisors (19722282300108).

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

11221022121012 is a wasteful number, since it uses less digits than its factorization.

11221022121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444933 (or 444928 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11221022121012 its reverse (21012122012211), we get a palindrome (32233144133223).

It can be divided in two parts, 112210 and 22121012, that added together give a palindrome (22233222).

The spelling of 11221022121012 in words is "eleven trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 77023 154046 231069 308092 367889 462138 693207 735778 847253 924276 1103667 1386414 1471556 1694506 2207334 2541759 2772828 3311001 3389012 4046779 4414668 5083518 6622002 7625277 8093558 10167036 12140337 13244004 15250554 16187116 24280674 30501108 36421011 48561348 72842022 145684044 28335914447 56671828894 85007743341 113343657788 170015486682 255023230023 311695058917 340030973364 510046460046 623390117834 935085176751 1020092920092 1246780235668 1870170353502 2805255530253 3740340707004 5610511060506 11221022121012