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12030301321122 = 2374117334031297
BaseRepresentation
bin1010111100010000010111…
…0101100011011110100010
31120121002022101100201001010
42233010011311203132202
53034101024114233442
641330351044321350
72351106040002420
oct257040565433642
946532271321033
1012030301321122
113919027514957
1214236776a3256
136935b6325bb6
142d83ac062110
1515ce08219b9c
hexaf105d637a2

12030301321122 has 64 divisors (see below), whose sum is σ = 28184771591424. Its totient is φ = 3351458242560.

The previous prime is 12030301321121. The next prime is 12030301321123. The reversal of 12030301321122 is 22112310303021.

12030301321122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12030301321121) and next prime (12030301321123).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12030301321121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968578 + ... + 4999874.

It is an arithmetic number, because the mean of its divisors is an integer number (440387056116).

Almost surely, 212030301321122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030301321122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092385795712).

12030301321122 is an abundant number, since it is smaller than the sum of its proper divisors (16154470270302).

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

12030301321122 is a wasteful number, since it uses less digits than its factorization.

12030301321122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033083.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12030301321122 its reverse (22112310303021), we get a palindrome (34142611624143).

The spelling of 12030301321122 in words is "twelve trillion, thirty billion, three hundred one million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 1733 3466 5199 10398 12131 24262 36393 71053 72786 142106 213159 426318 497371 994742 1492113 2984226 4031297 8062594 12093891 24187782 28219079 56438158 84657237 165283177 169314474 330566354 495849531 991699062 1156982239 2313964478 3470946717 6941893434 6986237701 13972475402 20958713103 41917426206 48903663907 97807327814 146710991721 286435745741 293421983442 572871491482 859307237223 1718614474446 2005050220187 4010100440374 6015150660561 12030301321122