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11211121222000 = 245371201666773
BaseRepresentation
bin1010001100100100101011…
…1001011110000101110000
31110200202212022110222100221
42203021022321132011300
52432140334013101000
635502152404022424
72234656015024150
oct243111271360560
943622768428327
1011211121222000
113632678724877
121310959991a14
13634286801a5b
142aa89a680760
1514696116561a
hexa324ae5e170

11211121222000 has 160 divisors (see below), whose sum is σ = 31006975319424. Its totient is φ = 3840606720000.

The previous prime is 11211121221973. The next prime is 11211121222033. The reversal of 11211121222000 is 22212111211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 16480614 + ... + 17147386.

Almost surely, 211211121222000 is an apocalyptic number.

11211121222000 is a gapful number since it is divisible by the number (10) 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 11211121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15503487659712).

11211121222000 is an abundant number, since it is smaller than the sum of its proper divisors (19795854097424).

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

11211121222000 is a wasteful number, since it uses less digits than its factorization.

11211121222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668004 (or 667988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11211121222000 its reverse (22212111211), we get a palindrome (11233333333211).

The spelling of 11211121222000 in words is "eleven trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1201 1400 1750 2000 2402 2800 3500 4804 6005 7000 8407 9608 12010 14000 16814 19216 24020 30025 33628 42035 48040 60050 67256 84070 96080 120100 134512 150125 168140 210175 240200 300250 336280 420350 480400 600500 666773 672560 840700 1050875 1201000 1333546 1681400 2101750 2402000 2667092 3333865 3362800 4203500 4667411 5334184 6667730 8407000 9334822 10668368 13335460 16669325 16814000 18669644 23337055 26670920 33338650 37339288 46674110 53341840 66677300 74678576 83346625 93348220 116685275 133354600 166693250 186696440 233370550 266709200 333386500 373392880 466741100 583426375 666773000 800794373 933482200 1166852750 1333546000 1601588746 1866964400 2333705500 3203177492 4003971865 4667411000 5605560611 6406354984 8007943730 9334822000 11211121222 12812709968 16015887460 20019859325 22422242444 28027803055 32031774920 40039718650 44844484888 56055606110 64063549840 80079437300 89688969776 100099296625 112111212220 140139015275 160158874600 200198593250 224222424440 280278030550 320317749200 400397186500 448444848880 560556061100 700695076375 800794373000 1121112122200 1401390152750 1601588746000 2242224244400 2802780305500 5605560611000 11211121222000