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1222100121220 = 2251110767377141
BaseRepresentation
bin10001110010001010110…
…101111111011010000100
311022211110020222120221121
4101302022311333122010
5130010330112334340
62333231450523324
7154202531430226
oct21621265773204
94284406876847
101222100121220
11431320727290
12178a26a36544
138b3220c3704
14432156cc416
1521bc9ee494a
hex11c8ad7f684

1222100121220 has 96 divisors (see below), whose sum is σ = 2830121513856. Its totient is φ = 439586918400.

The previous prime is 1222100121211. The next prime is 1222100121257. The reversal of 1222100121220 is 221210012221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1222100121194 and 1222100121203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15803850 + ... + 15880990.

It is an arithmetic number, because the mean of its divisors is an integer number (29480432436).

Almost surely, 21222100121220 is an apocalyptic number.

1222100121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222100121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415060756928).

1222100121220 is an abundant number, since it is smaller than the sum of its proper divisors (1608021392636).

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

1222100121220 is a wasteful number, since it uses less digits than its factorization.

1222100121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77941 (or 77939 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1222100121220 its reverse (221210012221), we get a palindrome (1443310133441).

The spelling of 1222100121220 in words is "one trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 673 1070 1177 1346 2140 2354 2692 3365 4708 5885 6730 7403 11770 13460 14806 23540 29612 37015 72011 74030 77141 144022 148060 154282 288044 308564 360055 385705 720110 771410 792121 848551 1440220 1542820 1584242 1697102 3168484 3394204 3960605 4242755 7921210 8254087 8485510 15842420 16508174 16971020 33016348 41270435 51915893 82540870 90794957 103831786 165081740 181589914 207663572 259579465 363179828 453974785 519158930 571074823 907949570 1038317860 1142149646 1815899140 2284299292 2855374115 5555000551 5710748230 11110001102 11421496460 22220002204 27775002755 55550005510 61105006061 111100011020 122210012122 244420024244 305525030305 611050060610 1222100121220