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12420342004122 = 23213613517247409
BaseRepresentation
bin1011010010111101011000…
…0100101011100110011010
31121222101001222201100111100
42310233112010223212122
53111443330023112442
642225454254012230
72421224440053003
oct264572604534632
947871058640440
1012420342004122
113a5948a299a58
12148718b4a7076
136c130551c450
1430d20d6521aa
151681355de84c
hexb4bd612b99a

12420342004122 has 96 divisors (see below), whose sum is σ = 29464387439760. Its totient is φ = 3757909800960.

The previous prime is 12420342004099. The next prime is 12420342004157. The reversal of 12420342004122 is 22140024302421.

It is a happy number.

12420342004122 is a `hidden beast` number, since 1 + 2 + 4 + 203 + 42 + 0 + 0 + 412 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8003699304561 + 4416642699561 = 2829081^2 + 2101581^2 .

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 47 ways as a sum of consecutive naturals, for example, 50077954 + ... + 50325362.

Almost surely, 212420342004122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420342004122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732193719880).

12420342004122 is an abundant number, since it is smaller than the sum of its proper divisors (17044045435638).

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

12420342004122 is a wasteful number, since it uses less digits than its factorization.

12420342004122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251008 (or 251005 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12420342004122 its reverse (22140024302421), we get a palindrome (34560366306543).

The spelling of 12420342004122 in words is "twelve trillion, four hundred twenty billion, three hundred forty-two million, four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 3517 4758 7034 7137 10551 14274 21102 31653 45721 63306 91442 137163 214537 247409 274326 411489 429074 494818 643611 742227 822978 1287222 1484454 1930833 2226681 2788981 3216317 3861666 4453362 5577962 6432634 8366943 9648951 15091949 16733886 19297902 25100829 28946853 30183898 45275847 50201658 57893706 90551694 135827541 196195337 271655082 392390674 588586011 870137453 1177172022 1740274906 1765758033 2610412359 3531516066 5220824718 7831237077 11311786889 15662474154 22623573778 33935360667 53078384633 67870721334 101806082001 106156769266 159235153899 203612164002 318470307798 477705461697 690019000229 955410923394 1380038000458 2070057000687 4140114001374 6210171002061 12420342004122