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20121120000212 = 22711773193343721
BaseRepresentation
bin1001001001100110100000…
…01101011100100011010100
32122020120010110010000121112
410210303100031130203110
510114131023210001322
6110443303120034152
74144463053030010
oct444632015344324
978216113100545
1020121120000212
116458356757970
12230b736462958
13b2c54b53230a
144d7c2022b540
1524d5e33235e2
hex124cd035c8d4

20121120000212 has 96 divisors (see below), whose sum is σ = 43981164428544. Its totient is φ = 7825026585600.

The previous prime is 20121120000199. The next prime is 20121120000337. The reversal of 20121120000212 is 21200002112102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 460194512 + ... + 460238232.

It is an arithmetic number, because the mean of its divisors is an integer number (458137129464).

Almost surely, 220121120000212 is an apocalyptic number.

20121120000212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20121120000212 is an abundant number, since it is smaller than the sum of its proper divisors (23860044428332).

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

20121120000212 is a wasteful number, since it uses less digits than its factorization.

20121120000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46449 (or 46447 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20121120000212 its reverse (21200002112102), we get a palindrome (41321122112314).

The spelling of 20121120000212 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 773 1546 1933 3092 3866 5411 7732 8503 10822 13531 17006 21263 21644 27062 34012 42526 43721 54124 59521 85052 87442 119042 148841 174884 238084 297682 306047 480931 595364 612094 961862 1224188 1494209 1923724 2988418 3366517 5976836 6733034 10459463 13466068 16436299 20918926 32872598 33796333 41837852 65745196 67592666 84512693 115054093 135185332 169025386 230108186 236574331 338050772 371759663 460216372 473148662 591588851 743519326 929639623 946297324 1183177702 1487038652 1859279246 2366355404 2602317641 3718558492 5204635282 6507477361 10409270564 13014954722 26029909444 65328311689 130656623378 261313246756 457298181823 718611428579 914596363646 1437222857158 1829192727292 2874445714316 5030280000053 10060560000106 20121120000212