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12212101122 = 2313674395323
BaseRepresentation
bin10110101111110010…
…11110000000000010
31011112002020000101120
423113321132000002
5200002244213442
65335443413110
7611425101234
oct132771360002
934462200346
1012212101122
1151a745a361
122449984196
1311c8097b50
1483bc70254
154b71ba4ec
hex2d7e5e002

12212101122 has 64 divisors (see below), whose sum is σ = 26761405440. Its totient is φ = 3692361024.

The previous prime is 12212101087. The next prime is 12212101127. The reversal of 12212101122 is 22110121221.

It is a super-3 number, since 3×122121011223 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12212101127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2291553 + ... + 2296875.

It is an arithmetic number, because the mean of its divisors is an integer number (418146960).

Almost surely, 212212101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380702720).

12212101122 is an abundant number, since it is smaller than the sum of its proper divisors (14549304318).

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

12212101122 is a wasteful number, since it uses less digits than its factorization.

12212101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847.

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

Adding to 12212101122 its reverse (22110121221), we get a palindrome (34322222343).

The spelling of 12212101122 in words is "twelve billion, two hundred twelve million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 439 871 878 1317 1742 2613 2634 5226 5323 5707 10646 11414 15969 17121 29413 31938 34242 58826 69199 88239 138398 176478 207597 356641 382369 415194 713282 764738 1069923 1147107 2139846 2294214 2336797 4636333 4673594 7010391 9272666 13908999 14020782 27817998 30378361 60756722 91135083 156565399 182270166 313130798 469696197 939392394 2035350187 4070700374 6106050561 12212101122