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12210102012 = 22319379141301
BaseRepresentation
bin10110101111100011…
…10101111011111100
31011111221110110010110
423113301311323330
5200001241231022
65335332510020
7611402104023
oct132761657374
934457413113
1012210102012
1151a63143a9
12244917b310
1311c7847c44
1483b8ad8ba
154b6e2300c
hex2d7c75efc

12210102012 has 48 divisors (see below), whose sum is σ = 30069065600. Its totient is φ = 3845620800.

The previous prime is 12210102011. The next prime is 12210102059. The reversal of 12210102012 is 21020101221.

It is a super-2 number, since 2×122101020122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210102011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15762 + ... + 157062.

Almost surely, 212210102012 is an apocalyptic number.

12210102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034532800).

12210102012 is an abundant number, since it is smaller than the sum of its proper divisors (17858963588).

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

12210102012 is a wasteful number, since it uses less digits than its factorization.

12210102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141706 (or 141704 counting only the distinct ones).

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

Adding to 12210102012 its reverse (21020101221), we get a palindrome (33230203233).

The spelling of 12210102012 in words is "twelve billion, two hundred ten million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 379 758 1137 1516 2274 4548 7201 14402 21603 28804 43206 86412 141301 282602 423903 565204 847806 1695612 2684719 5369438 8054157 10738876 16108314 32216628 53553079 107106158 160659237 214212316 321318474 642636948 1017508501 2035017002 3052525503 4070034004 6105051006 12210102012