Search a number
-
+
2212120101212 = 22721719152322943
BaseRepresentation
bin100000001100001100101…
…000100000000101011100
321211110212110020110200222
4200030030220200011130
5242220410221214322
64412122310540512
7315551253421100
oct40141450400534
97743773213628
102212120101212
1178317814445a
122b8882667738
131307a9879068
14790d24d3900
153c8204e7e42
hex2030ca2015c

2212120101212 has 144 divisors (see below), whose sum is σ = 5022610467840. Its totient is φ = 844729579008.

The previous prime is 2212120101179. The next prime is 2212120101241. The reversal of 2212120101212 is 2121010212122.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96406613 + ... + 96429555.

It is an arithmetic number, because the mean of its divisors is an integer number (34879239360).

Almost surely, 22212120101212 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 2212120101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511305233920).

2212120101212 is an abundant number, since it is smaller than the sum of its proper divisors (2810490366628).

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

2212120101212 is a wasteful number, since it uses less digits than its factorization.

2212120101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24520 (or 24511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2212120101212 its reverse (2121010212122), we get a palindrome (4333130313334).

The spelling of 2212120101212 in words is "two trillion, two hundred twelve billion, one hundred twenty million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 323 476 532 646 833 931 1292 1523 1666 1862 2261 3046 3332 3724 4522 6092 9044 10661 15827 21322 22943 25891 28937 31654 42644 45886 51782 57874 63308 74627 91772 103564 115748 149254 160601 181237 202559 298508 321202 362474 390031 405118 435917 491929 642404 724948 780062 810236 871834 983858 1124207 1268659 1417913 1560124 1743668 1967716 2248414 2537318 2730217 2835826 3051419 3443503 4496828 5074636 5460434 5671652 6102838 6887006 7410589 10920868 12205676 13774012 14821178 19111519 21359933 24104521 29642356 34942189 38223038 42719866 48209042 51874123 69884378 76446076 85439732 96418084 103748246 139768756 207496492 244595323 363118861 489190646 594017213 663901591 726237722 978381292 1188034426 1327803182 1452475444 1712167261 2376068852 2655606364 3424334522 4158120491 4647311137 6848669044 8316240982 9294622274 11286327047 16632481964 18589244548 22572654094 29106843437 32531177959 45145308188 58213686874 65062355918 79004289329 116427373748 130124711836 158008578658 316017157316 553030025303 1106060050606 2212120101212