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122331321112 = 237111345733427
BaseRepresentation
bin111000111101110000…
…0111101001100011000
3102200202110221222211211
41301323200331030120
54001013304233422
6132110452432504
711560325033650
oct1617340751430
9380673858754
10122331321112
1147975929190
121b860618734
13b6c71a7910
145cc6c09360
1532ae9b2577
hex1c7b83d318

122331321112 has 128 divisors (see below), whose sum is σ = 308650083840. Its totient is φ = 43897697280.

The previous prime is 122331321109. The next prime is 122331321113. The reversal of 122331321112 is 211123133221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331321113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3642943 + ... + 3676369.

It is an arithmetic number, because the mean of its divisors is an integer number (2411328780).

Almost surely, 2122331321112 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 122331321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154325041920).

122331321112 is an abundant number, since it is smaller than the sum of its proper divisors (186318762728).

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

122331321112 is a wasteful number, since it uses less digits than its factorization.

122331321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33921 (or 33917 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 122331321112 its reverse (211123133221), we get a palindrome (333454454333).

The spelling of 122331321112 in words is "one hundred twenty-two billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 457 572 616 728 914 1001 1144 1828 2002 3199 3656 4004 5027 5941 6398 8008 10054 11882 12796 20108 23764 25592 33427 35189 40216 41587 47528 65351 66854 70378 83174 130702 133708 140756 166348 233989 261404 267416 281512 332696 367697 434551 457457 467978 522808 735394 869102 914914 935956 1470788 1738204 1829828 1871912 2573879 2941576 3041857 3476408 3659656 4780061 5147758 6083714 9560122 10295516 12167428 15276139 19120244 20591032 24334856 30552278 33460427 38240488 61104556 66920854 106932973 122209112 133841708 168037529 198589807 213865946 267683416 336075058 397179614 427731892 672150116 794359228 855463784 1176262703 1344300232 1390128649 1588718456 2184487877 2352525406 2780257298 4368975754 4705050812 5560514596 8737951508 9410101624 11121029192 15291415139 17475903016 30582830278 61165660556 122331321112