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20122201200 = 2435260127901
BaseRepresentation
bin10010101111011000…
…000110110001110000
31220221100110201210010
4102233120012301300
5312202240414300
613124412334520
71311434613423
oct225730066160
956840421703
1020122201200
118596504652
123a96a74440
131b88ac273a
14d8c6159ba
157cb858a50
hex4af606c70

20122201200 has 120 divisors (see below), whose sum is σ = 64567683376. Its totient is φ = 5356800000.

The previous prime is 20122201171. The next prime is 20122201247. The reversal of 20122201200 is 210222102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×201222012002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 707250 + ... + 735150.

Almost surely, 220122201200 is an apocalyptic number.

20122201200 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 20122201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32283841688).

20122201200 is an abundant number, since it is smaller than the sum of its proper divisors (44445482176).

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

20122201200 is a wasteful number, since it uses less digits than its factorization.

20122201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28523 (or 28512 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20122201200 its reverse (210222102), we get a palindrome (20332423302).

The spelling of 20122201200 in words is "twenty billion, one hundred twenty-two million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 601 1200 1202 1803 2404 3005 3606 4808 6010 7212 9015 9616 12020 14424 15025 18030 24040 27901 28848 30050 36060 45075 48080 55802 60100 72120 83703 90150 111604 120200 139505 144240 167406 180300 223208 240400 279010 334812 360600 418515 446416 558020 669624 697525 721200 837030 1116040 1339248 1395050 1674060 2092575 2232080 2790100 3348120 4185150 5580200 6696240 8370300 11160400 16740600 16768501 33481200 33537002 50305503 67074004 83842505 100611006 134148008 167685010 201222012 251527515 268296016 335370020 402444024 419212525 503055030 670740040 804888048 838425050 1006110060 1257637575 1341480080 1676850100 2012220120 2515275150 3353700200 4024440240 5030550300 6707400400 10061100600 20122201200