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20122102101200 = 24521123198835001
BaseRepresentation
bin1001001001101000010101…
…01111110111010011010000
32122020122122220002220220012
410210310022233313103100
510114140031114214300
6110443544401534052
74144526306532131
oct444641257672320
978218586086805
1020122102101200
116458810065980
12230b96b344328
13b2c676b43468
144d7cb4839c88
1524d64e66b435
hex124d0abf74d0

20122102101200 has 120 divisors (see below), whose sum is σ = 55031165833536. Its totient is φ = 6998992000000.

The previous prime is 20122102101193. The next prime is 20122102101229. The reversal of 20122102101200 is 210120122102.

It is a super-2 number, since 2×201221021012002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99316301 + ... + 99518700.

Almost surely, 220122102101200 is an apocalyptic number.

20122102101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122102101200 is an abundant number, since it is smaller than the sum of its proper divisors (34909063732336).

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

20122102101200 is a wasteful number, since it uses less digits than its factorization.

20122102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198835053 (or 198835042 counting only the distinct ones).

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

Adding to 20122102101200 its reverse (210120122102), we get a palindrome (20332222223302).

The spelling of 20122102101200 in words is "twenty trillion, one hundred twenty-two billion, one hundred two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 176 184 200 220 230 253 275 368 400 440 460 506 550 575 880 920 1012 1100 1150 1265 1840 2024 2200 2300 2530 4048 4400 4600 5060 6325 9200 10120 12650 20240 25300 50600 101200 198835001 397670002 795340004 994175005 1590680008 1988350010 2187185011 3181360016 3976700020 4374370022 4573205023 4970875025 7953400040 8748740044 9146410046 9941750050 10935925055 15906800080 17497480088 18292820092 19883500100 21871850110 22866025115 34994960176 36585640184 39767000200 43743700220 45732050230 50305255253 54679625275 73171280368 79534000400 87487400440 91464100460 100610510506 109359250550 114330125575 174974800880 182928200920 201221021012 218718501100 228660251150 251526276265 365856401840 402442042024 437437002200 457320502300 503052552530 804884084048 874874004400 914641004600 1006105105060 1257631381325 1829282009200 2012210210120 2515262762650 4024420420240 5030525525300 10061051050600 20122102101200