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2212221210112 = 297970977141
BaseRepresentation
bin100000001100010010101…
…010001100111000000000
321211111010111111100001001
4200030102222030320000
5242221112112210422
64412140322021344
7315553622012164
oct40142252147000
97744114440031
102212221210112
1178321a223031
122b88b04a7854
131307c47ba504
1479101ad2ca4
153c82931b227
hex20312a8ce00

2212221210112 has 80 divisors (see below), whose sum is σ = 4482443908800. Its totient is φ = 1090554716160.

The previous prime is 2212221210107. The next prime is 2212221210113. The reversal of 2212221210112 is 2110121222122.

It is a self number, because there is not a number n which added to its sum of digits gives 2212221210112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212221210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28639062 + ... + 28716202.

It is an arithmetic number, because the mean of its divisors is an integer number (56030548860).

Almost surely, 22212221210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212221210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241221954400).

2212221210112 is an abundant number, since it is smaller than the sum of its proper divisors (2270222698688).

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

2212221210112 is an frugal number, since it uses more digits than its factorization.

2212221210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77947 (or 77931 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2212221210112 its reverse (2110121222122), we get a palindrome (4322342432234).

The spelling of 2212221210112 in words is "two trillion, two hundred twelve billion, two hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 709 1264 1418 2528 2836 5056 5672 10112 11344 20224 22688 40448 45376 56011 77141 90752 112022 154282 181504 224044 308564 363008 448088 617128 896176 1234256 1792352 2468512 3584704 4937024 6094139 7169408 9874048 12188278 14338816 19748096 24376556 28677632 39496192 48753112 54692969 97506224 109385938 195012448 218771876 390024896 437543752 780049792 875087504 1560099584 1750175008 3120199168 3500350016 4320744551 7000700032 8641489102 14001400064 17282978204 28002800128 34565956408 69131912816 138263825632 276527651264 553055302528 1106110605056 2212221210112