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12201331122 = 23237412631699
BaseRepresentation
bin10110101110100000…
…11000100110110010
31011111022221211201200
423113100120212302
5144442020043442
65334420512030
7611234413641
oct132720304662
934438854650
1012201331122
1151a1373732
12244624b616
1311c5a96976
1483a669358
154b628e34c
hex2d74189b2

12201331122 has 96 divisors (see below), whose sum is σ = 27935107200. Its totient is φ = 3843728640.

The previous prime is 12201331117. The next prime is 12201331139. The reversal of 12201331122 is 22113310221.

12201331122 is a `hidden beast` number, since 12 + 201 + 331 + 122 = 666.

It is a super-2 number, since 2×122013311222 (a number of 21 digits) contains 22 as substring.

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 = 12201331095 and 12201331104.

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, 7180629 + ... + 7182327.

It is an arithmetic number, because the mean of its divisors is an integer number (290990700).

Almost surely, 212201331122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13967553600).

12201331122 is an abundant number, since it is smaller than the sum of its proper divisors (15733776078).

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

12201331122 is a wasteful number, since it uses less digits than its factorization.

12201331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12201331122 its reverse (22113310221), we get a palindrome (34314641343).

The spelling of 12201331122 in words is "twelve billion, two hundred one million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 263 333 369 526 666 738 789 1517 1578 1699 2367 3034 3398 4551 4734 5097 9102 9731 10194 10783 13653 15291 19462 21566 27306 29193 30582 32349 58386 62863 64698 69659 87579 97047 125726 139318 175158 188589 194094 208977 377178 398971 417954 446837 565767 626931 797942 893674 1131534 1196913 1253862 1340511 2393826 2577383 2681022 3590739 4021533 5154766 7181478 7732149 8043066 15464298 16532969 18320317 23196447 33065938 36640634 46392894 49598907 54960951 99197814 109921902 148796721 164882853 297593442 329765706 677851729 1355703458 2033555187 4067110374 6100665561 12201331122