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20021111001200 = 2452937172131039
BaseRepresentation
bin1001000110101100001110…
…01101011001000001110000
32121212222222122112111001002
410203112013031121001300
510111011213404014300
6110325323232101132
74134322536411221
oct443260715310160
977788878474032
1020021111001200
1164199a6235771
1222b42856947a8
13b22ca0bc181a
144d3053d07248
1524abdd40c5d5
hex123587359070

20021111001200 has 120 divisors (see below), whose sum is σ = 48181585347840. Its totient is φ = 7994991513600.

The previous prime is 20021111001181. The next prime is 20021111001233. The reversal of 20021111001200 is 210011112002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645015281 + ... + 645046319.

It is an arithmetic number, because the mean of its divisors is an integer number (401513211232).

Almost surely, 220021111001200 is an apocalyptic number.

20021111001200 is a gapful number since it is divisible by the number (20) 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 20021111001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24090792673920).

20021111001200 is an abundant number, since it is smaller than the sum of its proper divisors (28160474346640).

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

20021111001200 is a wasteful number, since it uses less digits than its factorization.

20021111001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33715 (or 33704 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20021111001200 its reverse (210011112002), we get a palindrome (20231122113202).

The spelling of 20021111001200 in words is "twenty trillion, twenty-one billion, one hundred eleven million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 937 1721 1874 3442 3748 4685 6884 7496 8605 9370 13768 14992 17210 18740 23425 27536 31039 34420 37480 43025 46850 62078 68840 74960 86050 93700 124156 137680 155195 172100 187400 248312 310390 344200 374800 496624 620780 688400 775975 1241560 1551950 1612577 2483120 3103900 3225154 6207800 6450308 8062885 12415600 12900616 16125770 25801232 29083543 32251540 40314425 53418119 58167086 64503080 80628850 106836238 116334172 129006160 145417715 161257700 213672476 232668344 267090595 290835430 322515400 427344952 465336688 534181190 581670860 645030800 727088575 854689904 1068362380 1163341720 1335452975 1454177150 2136724760 2326683440 2670905950 2908354300 4273449520 5341811900 5816708600 10683623800 11633417200 21367247600 50052777503 100105555006 200211110012 250263887515 400422220024 500527775030 800844440048 1001055550060 1251319437575 2002111100120 2502638875150 4004222200240 5005277750300 10010555500600 20021111001200