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11000012222120 = 2352981111692687
BaseRepresentation
bin1010000000010010001111…
…0100100010111010101000
31102221120221202122121220112
42200010203310202322220
52420211011112101440
635221200313313452
72213503362106325
oct240044364427250
942846852577815
1011000012222120
113561096147639
121297a61a05888
1361a3b1b1318c
142a0591037b4c
151412077c0965
hexa0123d22ea8

11000012222120 has 64 divisors (see below), whose sum is σ = 25635049171200. Its totient is φ = 4243041895680.

The previous prime is 11000012222093. The next prime is 11000012222123. The reversal of 11000012222120 is 2122221000011.

It is a junction number, because it is equal to n+sod(n) for n = 11000012222095 and 11000012222104.

It is not an unprimeable number, because it can be changed into a prime (11000012222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4905584 + ... + 6787103.

It is an arithmetic number, because the mean of its divisors is an integer number (400547643300).

Almost surely, 211000012222120 is an apocalyptic number.

11000012222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000012222120 is an abundant number, since it is smaller than the sum of its proper divisors (14635036949080).

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

11000012222120 is a wasteful number, since it uses less digits than its factorization.

11000012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11693538 (or 11693534 counting only the distinct ones).

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

Adding to 11000012222120 its reverse (2122221000011), we get a palindrome (13122233222131).

The spelling of 11000012222120 in words is "eleven trillion, twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 811 1160 1622 3244 4055 6488 8110 16220 23519 32440 47038 94076 117595 188152 235190 470380 940760 11692687 23385374 46770748 58463435 93541496 116926870 233853740 339087923 467707480 678175846 1356351692 1695439615 2712703384 3390879230 6781758460 9482769157 13563516920 18965538314 37931076628 47413845785 75862153256 94827691570 189655383140 275000305553 379310766280 550000611106 1100001222212 1375001527765 2200002444424 2750003055530 5500006111060 11000012222120