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2212001100012 = 22311592231273663
BaseRepresentation
bin100000001100000101100…
…010100011000011101100
321211110120011022120202010
4200030011202203003230
5242220134240200022
64412102420201220
7315545310056604
oct40140542430354
97743504276663
102212001100012
11783116a55060
122b884a839210
1313078b011952
14790c0797c04
153c814d3d50c
hex203058a30ec

2212001100012 has 96 divisors (see below), whose sum is σ = 5751662837760. Its totient is φ = 655986876480.

The previous prime is 2212001100007. The next prime is 2212001100031. The reversal of 2212001100012 is 2100011002122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099893 + ... + 2373555.

It is an arithmetic number, because the mean of its divisors is an integer number (59913154560).

Almost surely, 22212001100012 is an apocalyptic number.

2212001100012 is a gapful number since it is divisible by the number (22) 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 2212001100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875831418880).

2212001100012 is an abundant number, since it is smaller than the sum of its proper divisors (3539661737748).

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

2212001100012 is a wasteful number, since it uses less digits than its factorization.

2212001100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273963 (or 1273961 counting only the distinct ones).

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

Adding to 2212001100012 its reverse (2100011002122), we get a palindrome (4312012102134).

The spelling of 2212001100012 in words is "two trillion, two hundred twelve billion, one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 223 236 354 446 649 669 708 892 1298 1338 1947 2453 2596 2676 3894 4906 7359 7788 9812 13157 14718 26314 29436 39471 52628 78942 144727 157884 289454 434181 578908 868362 1273663 1736724 2547326 3820989 5094652 7641978 14010293 15283956 28020586 42030879 56041172 75146117 84061758 150292234 168123516 225438351 284026849 300584468 450876702 568053698 826607287 852080547 901753404 1136107396 1653214574 1704161094 2479821861 3124295339 3306429148 3408322188 4959643722 6248590678 9372886017 9919287444 12497181356 16757584091 18745772034 33515168182 37491544068 50272752273 67030336364 100545504546 184333425001 201091009092 368666850002 553000275003 737333700004 1106000550006 2212001100012