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122001222012 = 2231919322912107
BaseRepresentation
bin111000110011111010…
…1101110100101111100
3102122220110211020000020
41301213311232211330
53444324303101022
6132014021332140
711546206163625
oct1614765564574
9378813736006
10122001222012
114781656690a
121b789b67050
13b67399b9c7
145c9503ca4c
153290a0a35c
hex1c67d6e97c

122001222012 has 96 divisors (see below), whose sum is σ = 302545017600. Its totient is φ = 38156562432.

The previous prime is 122001221999. The next prime is 122001222047. The reversal of 122001222012 is 210222100221.

It is a junction number, because it is equal to n+sod(n) for n = 122001221982 and 122001222000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10070863 + ... + 10082969.

It is an arithmetic number, because the mean of its divisors is an integer number (3151510600).

Almost surely, 2122001222012 is an apocalyptic number.

122001222012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122001222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151272508800).

122001222012 is an abundant number, since it is smaller than the sum of its proper divisors (180543795588).

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

122001222012 is a wasteful number, since it uses less digits than its factorization.

122001222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122001222012 its reverse (210222100221), we get a palindrome (332223322233).

The spelling of 122001222012 in words is "one hundred twenty-two billion, one million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 229 386 458 579 687 772 916 1158 1374 2316 2748 3667 4351 7334 8702 11001 12107 13053 14668 17404 22002 24214 26106 36321 44004 44197 48428 52212 72642 88394 132591 145284 176788 230033 265182 460066 530364 690099 839743 920132 1380198 1679486 2336651 2519229 2760396 2772503 3358972 4673302 5038458 5545006 7009953 8317509 9346604 10076916 11090012 14019906 16635018 28039812 33270036 44396369 52677557 88792738 105355114 133189107 158032671 177585476 210710228 266378214 316065342 532756428 535093079 632130684 1070186158 1605279237 2140372316 3210558474 6421116948 10166768501 20333537002 30500305503 40667074004 61000611006 122001222012