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1211121100220 = 22517231093141697
BaseRepresentation
bin10001100111111100011…
…100010110010110111100
311021210010010000112111012
4101213330130112112330
5124320334000201340
62324214212214352
7153333465331523
oct21477434262674
94253103015435
101211121100220
114276a7318309
1217688200a3b8
138a292632c95
144289351d4ba
15217861eb565
hex119fc7165bc

1211121100220 has 96 divisors (see below), whose sum is σ = 2812639552128. Its totient is φ = 435725402112.

The previous prime is 1211121100213. The next prime is 1211121100247. The reversal of 1211121100220 is 220011211121.

It is a junction number, because it is equal to n+sod(n) for n = 1211121100195 and 1211121100204.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8476412 + ... + 8618108.

It is an arithmetic number, because the mean of its divisors is an integer number (29298328668).

Almost surely, 21211121100220 is an apocalyptic number.

1211121100220 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 1211121100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406319776064).

1211121100220 is an abundant number, since it is smaller than the sum of its proper divisors (1601518451908).

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

1211121100220 is a wasteful number, since it uses less digits than its factorization.

1211121100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142839 (or 142837 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1211121100220 its reverse (220011211121), we get a palindrome (1431132311341).

The spelling of 1211121100220 in words is "one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1093 1564 1955 2186 3910 4372 5465 7820 10930 18581 21860 25139 37162 50278 74324 92905 100556 125695 141697 185810 251390 283394 371620 427363 502780 566788 708485 854726 1416970 1709452 2136815 2408849 2833940 3259031 4273630 4817698 6518062 8547260 9635396 12044245 13036124 16295155 24088490 32590310 48176980 55403527 65180620 110807054 154874821 221614108 277017635 309749642 554035270 619499284 774374105 1108070540 1548748210 2632871957 3097496420 3562120883 5265743914 7124241766 10531487828 13164359785 14248483532 17810604415 26328719570 35621208830 52657439140 60556055011 71242417660 121112110022 242224220044 302780275055 605560550110 1211121100220