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20002201212120 = 23352937155344837
BaseRepresentation
bin1001000110001001000000…
…00110010001010011011000
32121211012011210102200000120
410203010200012101103120
510110204002002241440
6110312515005433240
74133053123016631
oct443044006212330
977735153380016
1020002201212120
116411982145306
1222b068886b820
13b2127934b00a
144d217c732888
1524a483241dd0
hex1231201914d8

20002201212120 has 128 divisors (see below), whose sum is σ = 63753521515200. Its totient is φ = 5010803030016.

The previous prime is 20002201212113. The next prime is 20002201212121. The reversal of 20002201212120 is 2121210220002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20002201212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002201212121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77543659 + ... + 77801178.

Almost surely, 220002201212120 is an apocalyptic number.

20002201212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002201212120 is an abundant number, since it is smaller than the sum of its proper divisors (43751320303080).

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

20002201212120 is a wasteful number, since it uses less digits than its factorization.

20002201212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155344917 (or 155344913 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20002201212120 its reverse (2121210220002), we get a palindrome (22123411432122).

The spelling of 20002201212120 in words is "twenty trillion, two billion, two hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 111 116 120 145 148 174 185 222 232 290 296 348 370 435 444 555 580 696 740 870 888 1073 1110 1160 1480 1740 2146 2220 3219 3480 4292 4440 5365 6438 8584 10730 12876 16095 21460 25752 32190 42920 64380 128760 155344837 310689674 466034511 621379348 776724185 932069022 1242758696 1553448370 1864138044 2330172555 3106896740 3728276088 4505000273 4660345110 5747758969 6213793480 9010000546 9320690220 11495517938 13515000819 17243276907 18020001092 18641380440 22525001365 22991035876 27030001638 28738794845 34486553814 36040002184 45050002730 45982071752 54060003276 57477589690 67575004095 68973107628 86216384535 90100005460 108120006552 114955179380 135150008190 137946215256 166685010101 172432769070 180200010920 229910358760 270300016380 333370020202 344865538140 500055030303 540600032760 666740040404 689731076280 833425050505 1000110060606 1333480080808 1666850101010 2000220121212 2500275151515 3333700202020 4000440242424 5000550303030 6667400404040 10001100606060 20002201212120