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12211020012 = 22353113169909
BaseRepresentation
bin10110101111101010…
…10110000011101100
31011112000012002101110
423113311112003230
5200002010120022
65335404312020
7611412646302
oct132765260354
934460162343
1012211020012
1151a6891084
122449542610
1311c7aa9a39
1483ba6c272
154b705500c
hex2d7d560ec

12211020012 has 48 divisors (see below), whose sum is σ = 29287046880. Its totient is φ = 3958176768.

The previous prime is 12211020007. The next prime is 12211020013. The reversal of 12211020012 is 21002011221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12211020012.

It is not an unprimeable number, because it can be changed into a prime (12211020013) 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 15 ways as a sum of consecutive naturals, for example, 13087 + ... + 156822.

It is an arithmetic number, because the mean of its divisors is an integer number (610146810).

Almost surely, 212211020012 is an apocalyptic number.

12211020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211020012 is an abundant number, since it is smaller than the sum of its proper divisors (17076026868).

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

12211020012 is a wasteful number, since it uses less digits than its factorization.

12211020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170082 (or 170080 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12211020012 its reverse (21002011221), we get a palindrome (33213031233).

The spelling of 12211020012 in words is "twelve billion, two hundred eleven million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 113 159 212 226 318 339 452 636 678 1356 5989 11978 17967 23956 35934 71868 169909 339818 509727 679636 1019454 2038908 9005177 18010354 19199717 27015531 36020708 38399434 54031062 57599151 76798868 108062124 115198302 230396604 1017585001 2035170002 3052755003 4070340004 6105510006 12211020012