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12221010012 = 2231883954059
BaseRepresentation
bin10110110000110110…
…11101000001011100
31011112200222122002110
423120123131001130
5200012034310022
65340402354020
7611563604541
oct133033350134
934480878073
1012221010012
115201494782
12245095b910
1311c9b96b93
1483d10cbc8
154b7d7a00c
hex2d86dd05c

12221010012 has 24 divisors (see below), whose sum is σ = 28517731200. Its totient is φ = 4073378416.

The previous prime is 12221009981. The next prime is 12221010013. The reversal of 12221010012 is 21001012221.

12221010012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12221010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221010013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199039 + ... + 253097.

It is an arithmetic number, because the mean of its divisors is an integer number (1188238800).

Almost surely, 212221010012 is an apocalyptic number.

12221010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221010012 is an abundant number, since it is smaller than the sum of its proper divisors (16296721188).

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

12221010012 is a wasteful number, since it uses less digits than its factorization.

12221010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72905 (or 72903 counting only the distinct ones).

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

Adding to 12221010012 its reverse (21001012221), we get a palindrome (33222022233).

The spelling of 12221010012 in words is "twelve billion, two hundred twenty-one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 18839 37678 54059 56517 75356 108118 113034 162177 216236 226068 324354 648708 1018417501 2036835002 3055252503 4073670004 6110505006 12221010012