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1222200101120 = 2851177781077
BaseRepresentation
bin10001110010010000110…
…011011000100100000000
311022211201020010002120212
4101302100303120210000
5130011031211213440
62333245421453252
7154205154306635
oct21622063304400
94284636102525
101222200101120
114313721046a9
12178a54411228
138b339a2b00b
1443224ab618c
1521bd3b93465
hex11c90cd8900

1222200101120 has 72 divisors (see below), whose sum is σ = 2927835873144. Its totient is φ = 488832499712.

The previous prime is 1222200101099. The next prime is 1222200101167. The reversal of 1222200101120 is 211010022221.

It can be written as a sum of positive squares in 4 ways, for example, as 453758515456 + 768441585664 = 673616^2 + 876608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1222200101095 and 1222200101104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15034022 + ... + 15115098.

It is an arithmetic number, because the mean of its divisors is an integer number (40664387127).

Almost surely, 21222200101120 is an apocalyptic number.

1222200101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222200101120 is an abundant number, since it is smaller than the sum of its proper divisors (1705635772024).

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

1222200101120 is an equidigital number, since it uses as much as digits as its factorization.

1222200101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92875 (or 92861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1222200101120 its reverse (211010022221), we get a palindrome (1433210123341).

The spelling of 1222200101120 in words is "one trillion, two hundred twenty-two billion, two hundred million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 11777 23554 47108 58885 81077 94216 117770 162154 188432 235540 324308 376864 405385 471080 648616 753728 810770 942160 1297232 1507456 1621540 1884320 2594464 3014912 3243080 3768640 5188928 6486160 7537280 10377856 12972320 15074560 20755712 25944640 51889280 103778560 954843829 1909687658 3819375316 4774219145 7638750632 9548438290 15277501264 19096876580 30555002528 38193753160 61110005056 76387506320 122220010112 152775012640 244440020224 305550025280 611100050560 1222200101120