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2220212112000 = 2735346254419
BaseRepresentation
bin100000010011101110111…
…101000100101010000000
321212020202101210012200020
4200103232331010222000
5242333443300041000
64415541254453440
7316255632400221
oct40235675045200
97766671705606
102220212112000
1178664a946983
122ba360664280
1313149919641c
147965d0ad248
153cb45b1aba0
hex204eef44a80

2220212112000 has 128 divisors (see below), whose sum is σ = 7360003310400. Its totient is φ = 592056550400.

The previous prime is 2220212111989. The next prime is 2220212112011. The reversal of 2220212112000 is 2112120222.

It is an interprime number because it is at equal distance from previous prime (2220212111989) and next prime (2220212112011).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23079210 + ... + 23175209.

Almost surely, 22220212112000 is an apocalyptic number.

2220212112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220212112000 is an abundant number, since it is smaller than the sum of its proper divisors (5139791198400).

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

2220212112000 is an equidigital number, since it uses as much as digits as its factorization.

2220212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46254451 (or 46254429 counting only the distinct ones).

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

Adding to 2220212112000 its reverse (2112120222), we get a palindrome (2222324232222).

The spelling of 2220212112000 in words is "two trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 46254419 92508838 138763257 185017676 231272095 277526514 370035352 462544190 555053028 693816285 740070704 925088380 1110106056 1156360475 1387632570 1480141408 1850176760 2220212112 2312720950 2775265140 2960282816 3469081425 3700353520 4440424224 4625441900 5550530280 5781802375 5920565632 6938162850 7400707040 8880848448 9250883800 11101060560 11563604750 13876325700 14801414080 17345407125 17761696896 18501767600 22202121120 23127209500 27752651400 29602828160 34690814250 37003535200 44404242240 46254419000 55505302800 69381628500 74007070400 88808484480 92508838000 111010605600 138763257000 148014140800 185017676000 222021211200 277526514000 370035352000 444042422400 555053028000 740070704000 1110106056000 2220212112000