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10000001221212 = 22319373313581257
BaseRepresentation
bin1001000110000100111010…
…0001010100001001011100
31022101222202021112022000110
42101201032201110021130
52302320000303034322
633133534231130020
72051322231621552
oct221411641241134
938358667468013
1010000001221212
113205a81a98592
121156098213910
13576cc4495332
14268007369bd2
151251ca0d4c0c
hex9184e85425c

10000001221212 has 96 divisors (see below), whose sum is σ = 25301444519680. Its totient is φ = 3063263132160.

The previous prime is 10000001221211. The next prime is 10000001221213. The reversal of 10000001221212 is 21212210000001.

It is an interprime number because it is at equal distance from previous prime (10000001221211) and next prime (10000001221213).

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 (10000001221211) 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 31 ways as a sum of consecutive naturals, for example, 1001688 + ... + 4582944.

Almost surely, 210000001221212 is an apocalyptic number.

10000001221212 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 10000001221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650722259840).

10000001221212 is an abundant number, since it is smaller than the sum of its proper divisors (15301443298468).

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

10000001221212 is a wasteful number, since it uses less digits than its factorization.

10000001221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581651 (or 3581649 counting only the distinct ones).

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

Adding to 10000001221212 its reverse (21212210000001), we get a palindrome (31212211221213).

The spelling of 10000001221212 in words is "ten trillion, one million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 331 444 662 703 993 1324 1406 1986 2109 2812 3972 4218 6289 8436 12247 12578 18867 24494 25156 36741 37734 48988 73482 75468 146964 232693 465386 698079 930772 1396158 2792316 3581257 7162514 10743771 14325028 21487542 42975084 68043883 132506509 136087766 204131649 265013018 272175532 397519527 408263298 530026036 795039054 816526596 1185396067 1590078108 2370792134 2517623671 3556188201 4741584268 5035247342 7112376402 7552871013 10070494684 14224752804 15105742026 22522525273 30211484052 43859654479 45045050546 67567575819 87719308958 90090101092 131578963437 135135151638 175438617916 263157926874 270270303276 526315853748 833333435101 1666666870202 2500000305303 3333333740404 5000000610606 10000001221212