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122101012201220 = 225133989117728573
BaseRepresentation
bin11011110000110011011011…
…011101010111111100000100
3121000022202001110220101012022
4123300303123131113330010
5112001000333110414340
61111404233003542312
734501335623216543
oct3360633335277404
9530282043811168
10122101012201220
11359a5826247928
121183bbb1b2a998
1353190cb0c03c0
142221a1318615a
15e1b1da65e3b5
hex6f0cdb757f04

122101012201220 has 48 divisors (see below), whose sum is σ = 276205362032880. Its totient is φ = 45072148333056.

The previous prime is 122101012201171. The next prime is 122101012201249. The reversal of 122101012201220 is 22102210101221.

It can be written as a sum of positive squares in 8 ways, for example, as 44269940516356 + 77831071684864 = 6653566^2 + 8822192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57827147 + ... + 59901426.

It is an arithmetic number, because the mean of its divisors is an integer number (5754278375685).

Almost surely, 2122101012201220 is an apocalyptic number.

122101012201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101012201220 is an abundant number, since it is smaller than the sum of its proper divisors (154104349831660).

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

122101012201220 is a wasteful number, since it uses less digits than its factorization.

122101012201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117732584 (or 117732582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122101012201220 its reverse (22102210101221), we get a palindrome (144203222302441).

The spelling of 122101012201220 in words is "one hundred twenty-two trillion, one hundred one billion, twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3989 7978 15956 19945 39890 51857 79780 103714 207428 259285 518570 1037140 117728573 235457146 470914292 588642865 1177285730 1530471449 2354571460 3060942898 6121885796 7652357245 15304714490 30609428980 469619277697 939238555394 1878477110788 2348096388485 4696192776970 6105050610061 9392385553940 12210101220122 24420202440244 30525253050305 61050506100610 122101012201220