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11122020001220 = 2251759829668803
BaseRepresentation
bin1010000111011000110000…
…0011010010010111000100
31110101020212200210222112212
42201312030003102113010
52424210344110014340
635353215131402552
72225353011113162
oct241661403222704
943336780728485
1011122020001220
1135a8905381927
1212b7631bb3458
13628a56c695cb
142a6446ca2232
15144498b73a65
hexa1d8c0d25c4

11122020001220 has 96 divisors (see below), whose sum is σ = 25179668035200. Its totient is φ = 4111174047744.

The previous prime is 11122020001177. The next prime is 11122020001223. The reversal of 11122020001220 is 2210002022111.

It is a junction number, because it is equal to n+sod(n) for n = 11122020001195 and 11122020001204.

It is not an unprimeable number, because it can be changed into a prime (11122020001223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16295339 + ... + 16964141.

It is an arithmetic number, because the mean of its divisors is an integer number (262288208700).

Almost surely, 211122020001220 is an apocalyptic number.

11122020001220 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 11122020001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589834017600).

11122020001220 is an abundant number, since it is smaller than the sum of its proper divisors (14057648033980).

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

11122020001220 is a wasteful number, since it uses less digits than its factorization.

11122020001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669717 (or 669715 counting only the distinct ones).

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

Adding to 11122020001220 its reverse (2210002022111), we get a palindrome (13332022023331).

The spelling of 11122020001220 in words is "eleven trillion, one hundred twenty-two billion, twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 829 1003 1180 1658 2006 3316 4012 4145 5015 8290 10030 14093 16580 20060 28186 48911 56372 70465 97822 140930 195644 244555 281860 489110 668803 831487 978220 1337606 1662974 2675212 3325948 3344015 4157435 6688030 8314870 11369651 13376060 16629740 22739302 39459377 45478604 56848255 78918754 113696510 157837508 197296885 227393020 394593770 554437687 670809409 789187540 1108875374 1341618818 2217750748 2683237636 2772188435 3354047045 5544376870 6708094090 9425440679 11088753740 13416188180 18850881358 32711823533 37701762716 47127203395 65423647066 94254406790 130847294132 163559117665 188508813580 327118235330 556101000061 654236470660 1112202000122 2224404000244 2780505000305 5561010000610 11122020001220