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12200220120012 = 22323281157308527
BaseRepresentation
bin1011000110001001010111…
…0010010101001111001100
31121012022220022120001011220
42301202111302111033030
53044342022322320022
641540412002043340
72366302553652561
oct261422562251714
947168808501156
1012200220120012
1139840a2220471
121450599049550
136a66254bbc92
143026caddc868
1516255087585c
hexb1895c953cc

12200220120012 has 48 divisors (see below), whose sum is σ = 29810595290112. Its totient is φ = 3876082080640.

The previous prime is 12200220120007. The next prime is 12200220120017. The reversal of 12200220120012 is 21002102200221.

It is an interprime number because it is at equal distance from previous prime (12200220120007) and next prime (12200220120017).

It is a junction number, because it is equal to n+sod(n) for n = 12200220119973 and 12200220120000.

It is not an unprimeable number, because it can be changed into a prime (12200220120017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78576708 + ... + 78731819.

It is an arithmetic number, because the mean of its divisors is an integer number (621054068544).

Almost surely, 212200220120012 is an apocalyptic number.

12200220120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12200220120012 is an abundant number, since it is smaller than the sum of its proper divisors (17610375170100).

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

12200220120012 is a wasteful number, since it uses less digits than its factorization.

12200220120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157308838 (or 157308836 counting only the distinct ones).

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

Adding to 12200220120012 its reverse (21002102200221), we get a palindrome (33202322320233).

The spelling of 12200220120012 in words is "twelve trillion, two hundred billion, two hundred twenty million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 281 562 843 1124 1686 3372 6463 12926 19389 25852 38778 77556 157308527 314617054 471925581 629234108 943851162 1887702324 3618096121 7236192242 10854288363 14472384484 21708576726 43417153452 44203696087 88407392174 132611088261 176814784348 265222176522 530444353044 1016685010001 2033370020002 3050055030003 4066740040004 6100110060006 12200220120012