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11000012120000 = 26541132433631
BaseRepresentation
bin1010000000010010001111…
…0100001001111111000000
31102221120221202110102211022
42200010203310021333000
52420211011100320000
635221200311205012
72213503361202521
oct240044364117700
942846852412738
1011000012120000
113561096087942
121297a61976768
1361a3b1aa8857
142a059100c848
151412077a0585
hexa0123d09fc0

11000012120000 has 140 divisors (see below), whose sum is σ = 27517850918976. Its totient is φ = 4361064960000.

The previous prime is 11000012119997. The next prime is 11000012120003. The reversal of 11000012120000 is 2121000011.

It is an interprime number because it is at equal distance from previous prime (11000012119997) and next prime (11000012120003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11000012120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000012120003) 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 19 ways as a sum of consecutive naturals, for example, 3303185 + ... + 5736815.

Almost surely, 211000012120000 is an apocalyptic number.

11000012120000 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 11000012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13758925459488).

11000012120000 is an abundant number, since it is smaller than the sum of its proper divisors (16517838798976).

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

11000012120000 is an equidigital number, since it uses as much as digits as its factorization.

11000012120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433776 (or 2433751 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11000012120000 its reverse (2121000011), we get a palindrome (11002133120011).

The spelling of 11000012120000 in words is "eleven trillion, twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 125 160 200 226 250 320 400 452 500 565 625 800 904 1000 1130 1250 1600 1808 2000 2260 2500 2825 3616 4000 4520 5000 5650 7232 8000 9040 10000 11300 14125 18080 20000 22600 28250 36160 40000 45200 56500 70625 90400 113000 141250 180800 226000 282500 452000 565000 904000 1130000 2260000 2433631 4520000 4867262 9734524 12168155 19469048 24336310 38938096 48672620 60840775 77876192 97345240 121681550 155752384 194690480 243363100 275000303 304203875 389380960 486726200 550000606 608407750 778761920 973452400 1100001212 1216815500 1375001515 1521019375 1946904800 2200002424 2433631000 2750003030 3042038750 3893809600 4400004848 4867262000 5500006060 6084077500 6875007575 8800009696 9734524000 11000012120 12168155000 13750015150 17600019392 19469048000 22000024240 24336310000 27500030300 34375037875 44000048480 48672620000 55000060600 68750075750 88000096960 97345240000 110000121200 137500151500 171875189375 220000242400 275000303000 343750378750 440000484800 550000606000 687500757500 1100001212000 1375001515000 2200002424000 2750003030000 5500006060000 11000012120000