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122101312013220 = 22352837517956617
BaseRepresentation
bin11011110000110011101101…
…010101000100001110100100
3121000022202211101001101221110
4123300303231111010032210
5112001001441333410340
61111404322433545020
734501346223454161
oct3360635525041644
9530282741041843
10122101312013220
11359a596a503041
1211840076415170
135319148253757
142221a40d0b068
15e1b206b32680
hex6f0ced5443a4

122101312013220 has 96 divisors (see below), whose sum is σ = 343137743964288. Its totient is φ = 32440945462272.

The previous prime is 122101312013207. The next prime is 122101312013273. The reversal of 122101312013220 is 22310213101221.

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, 127160352 + ... + 128116968.

It is an arithmetic number, because the mean of its divisors is an integer number (3574351499628).

Almost surely, 2122101312013220 is an apocalyptic number.

122101312013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101312013220 is an abundant number, since it is smaller than the sum of its proper divisors (221036431951068).

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

122101312013220 is a wasteful number, since it uses less digits than its factorization.

122101312013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964429 (or 964427 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122101312013220 its reverse (22310213101221), we get a palindrome (144411525114441).

The spelling of 122101312013220 in words is "one hundred twenty-two trillion, one hundred one billion, three hundred twelve million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 283 566 849 1132 1415 1698 2830 3396 4245 5660 7517 8490 15034 16980 22551 30068 37585 45102 75170 90204 112755 150340 225510 451020 956617 1913234 2127311 2869851 3826468 4254622 4783085 5739702 6381933 8509244 9566170 10636555 11479404 12763866 14349255 19132340 21273110 25527732 28698510 31909665 42546220 57397020 63819330 127638660 270722611 541445222 812167833 1082890444 1353613055 1624335666 2707226110 3248671332 4060839165 5414452220 7190889989 8121678330 14381779978 16243356660 21572669967 28763559956 35954449945 43145339934 71908899890 86290679868 107863349835 143817799780 215726699670 431453399340 2035021866887 4070043733774 6105065600661 8140087467548 10175109334435 12210131201322 20350218668870 24420262402644 30525328003305 40700437337740 61050656006610 122101312013220