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222220112012000 = 2553411355000683
BaseRepresentation
bin110010100001101110100110…
…110101101010001011100000
31002010211000221200112011111222
4302201232212311222023200
5213111323242133341000
62104342302104554212
764543605351150134
oct6241564665521340
91063730850464458
10222220112012000
1164896024a67693
1220b0b8b5a82968
1396cc360a8bb5b
143cc37219353c4
151aa56c5d6ba85
hexca1ba6d6a2e0

222220112012000 has 96 divisors (see below), whose sum is σ = 559311762338784. Its totient is φ = 86720043648000.

The previous prime is 222220112011993. The next prime is 222220112012009. The reversal of 222220112012000 is 210211022222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 222220112012000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222220112012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677336342 + ... + 677664341.

It is an arithmetic number, because the mean of its divisors is an integer number (5826164191029).

Almost surely, 2222220112012000 is an apocalyptic number.

222220112012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222220112012000 is an abundant number, since it is smaller than the sum of its proper divisors (337091650326784).

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

222220112012000 is a wasteful number, since it uses less digits than its factorization.

222220112012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355000749 (or 1355000731 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222220112012000 its reverse (210211022222), we get a palindrome (222430323034222).

The spelling of 222220112012000 in words is "two hundred twenty-two trillion, two hundred twenty billion, one hundred twelve million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 82000 164000 1355000683 2710001366 5420002732 6775003415 10840005464 13550006830 21680010928 27100013660 33875017075 43360021856 54200027320 55555028003 67750034150 108400054640 111110056006 135500068300 169375085375 216800109280 222220112012 271000136600 277775140015 338750170750 444440224024 542000273200 555550280030 677500341500 888880448048 1084000546400 1111100560060 1355000683000 1388875700075 1777760896096 2222201120120 2710001366000 2777751400150 4444402240240 5420002732000 5555502800300 6944378500375 8888804480480 11111005600600 13888757000750 22222011201200 27777514001500 44444022402400 55555028003000 111110056006000 222220112012000