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12200002001022 = 23112411758143627
BaseRepresentation
bin1011000110001000100011…
…0010010001100001111110
31121012022100010010110011210
42301202020302101201332
53044341101003013042
641540334211025250
72366264264662263
oct261421062214176
947168303113153
1012200002001022
113983aa0092440
121450537b9b226
136a65bc25c7a4
143026aa06126a
1516253b63ca9c
hexb1888c9187e

12200002001022 has 64 divisors (see below), whose sum is σ = 26730768100608. Its totient is φ = 3681336384000.

The previous prime is 12200002001021. The next prime is 12200002001023. The reversal of 12200002001022 is 22010020000221.

It is an interprime number because it is at equal distance from previous prime (12200002001021) and next prime (12200002001023).

It is a junction number, because it is equal to n+sod(n) for n = 12200002000989 and 12200002001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200002001021) 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, 279621573 + ... + 279665199.

It is an arithmetic number, because the mean of its divisors is an integer number (417668251572).

Almost surely, 212200002001022 is an apocalyptic number.

12200002001022 is an abundant number, since it is smaller than the sum of its proper divisors (14530766099586).

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

12200002001022 is a wasteful number, since it uses less digits than its factorization.

12200002001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61465.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12200002001022 its reverse (22010020000221), we get a palindrome (34210022001243).

The spelling of 12200002001022 in words is "twelve trillion, two hundred billion, two million, one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 241 482 723 1446 2651 5302 7953 15906 17581 35162 43627 52743 87254 105486 130881 193391 261762 386782 479897 580173 959794 1160346 1439691 2879382 4237021 8474042 10514107 12711063 21028214 25422126 31542321 46607231 63084642 93214462 115655177 139821693 231310354 279643386 346965531 693931062 767006287 1534012574 2301018861 4602037722 8437069157 16874138314 25311207471 50622414942 184848515167 369697030334 554545545501 1109091091002 2033333666837 4066667333674 6100001000511 12200002001022