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122021001312012 = 223211228012167427
BaseRepresentation
bin11011101111101000111010…
…011100000011011100001100
3121000001002112101022002000100
4123233220322130003130030
5111443143002313441022
61111303401340531100
734462504106663145
oct3357507234033414
9530032471262010
10122021001312012
11359748a8183600
12118285a2550a90
1353116b994508a
14221bbc2bb4acc
15e190a623e1ac
hex6efa3a70370c

122021001312012 has 54 divisors (see below), whose sum is σ = 339031262381084. Its totient is φ = 36976061002320.

The previous prime is 122021001312011. The next prime is 122021001312047. The reversal of 122021001312012 is 210213100120221.

122021001312012 is a `hidden beast` number, since 1 + 220 + 210 + 0 + 1 + 31 + 201 + 2 = 666.

It is a super-2 number, since 2×1220210013120122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122021001312011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14006079358 + ... + 14006088069.

Almost surely, 2122021001312012 is an apocalyptic number.

122021001312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122021001312012 is an abundant number, since it is smaller than the sum of its proper divisors (217010261069072).

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

122021001312012 is a wasteful number, since it uses less digits than its factorization.

122021001312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28012167459 (or 28012167443 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122021001312012 its reverse (210213100120221), we get a palindrome (332234101432233).

The spelling of 122021001312012 in words is "one hundred twenty-two trillion, twenty-one billion, one million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 28012167427 56024334854 84036502281 112048669708 168073004562 252109506843 308133841697 336146009124 504219013686 616267683394 924401525091 1008438027372 1232535366788 1848803050182 2773204575273 3389472258667 3697606100364 5546409150546 6778944517334 10168416776001 11092818301092 13557889034668 20336833552002 30505250328003 40673667104004 61010500656006 122021001312012