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12210242004 = 223219106916699
BaseRepresentation
bin10110101111100100…
…11000000111010100
31011111221201120011100
423113302120013110
5200001310221004
65335335510100
7611403226122
oct132762300724
934457646140
1012210242004
1151a63aa5a4
122449228330
1311c789688c
1483b908912
154b6e4e739
hex2d7c981d4

12210242004 has 72 divisors (see below), whose sum is σ = 32521580000. Its totient is φ = 3852028224.

The previous prime is 12210242003. The next prime is 12210242029. The reversal of 12210242004 is 40024201221.

12210242004 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210242003) 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 23 ways as a sum of consecutive naturals, for example, 722847 + ... + 739545.

Almost surely, 212210242004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210242004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260790000).

12210242004 is an abundant number, since it is smaller than the sum of its proper divisors (20311337996).

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

12210242004 is a wasteful number, since it uses less digits than its factorization.

12210242004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17797 (or 17792 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12210242004 its reverse (40024201221), we get a palindrome (52234443225).

The spelling of 12210242004 in words is "twelve billion, two hundred ten million, two hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1069 2138 3207 4276 6414 9621 12828 16699 19242 20311 33398 38484 40622 50097 60933 66796 81244 100194 121866 150291 182799 200388 243732 300582 317281 365598 601164 634562 731196 951843 1269124 1903686 2855529 3807372 5711058 11422116 17851231 35702462 53553693 71404924 107107386 160661079 214214772 321322158 339173389 642644316 678346778 1017520167 1356693556 2035040334 3052560501 4070080668 6105121002 12210242004