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122231202120 = 23335385129389
BaseRepresentation
bin111000111010110001…
…1000010000101001000
3102200111111120102102000
41301311203002011020
54000312141431440
6132052514511000
711555001034566
oct1616543020510
9380444512360
10122231202120
1147924366315
121b832b95460
13b6ac521c01
145cb77c6a36
1532a5cd7730
hex1c758c2148

122231202120 has 128 divisors (see below), whose sum is σ = 407557008000. Its totient is φ = 32585414400.

The previous prime is 122231202103. The next prime is 122231202133. The reversal of 122231202120 is 21202132221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122231202093 and 122231202102.

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, 4144386 + ... + 4173774.

It is an arithmetic number, because the mean of its divisors is an integer number (3184039125).

Almost surely, 2122231202120 is an apocalyptic number.

122231202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122231202120 is an abundant number, since it is smaller than the sum of its proper divisors (285325805880).

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

122231202120 is a wasteful number, since it uses less digits than its factorization.

122231202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33260 (or 33250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122231202120 its reverse (21202132221), we get a palindrome (143433334341).

The spelling of 122231202120 in words is "one hundred twenty-two billion, two hundred thirty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3851 7702 11553 15404 19255 23106 29389 30808 34659 38510 46212 57765 58778 69318 77020 88167 92424 103977 115530 117556 138636 146945 154040 173295 176334 207954 231060 235112 264501 277272 293890 346590 352668 415908 440835 462120 519885 529002 587780 693180 705336 793503 831816 881670 1039770 1058004 1175560 1322505 1386360 1587006 1763340 2079540 2116008 2645010 3174012 3526680 3967515 4159080 5290020 6348024 7935030 10580040 15870060 31740120 113177039 226354078 339531117 452708156 565885195 679062234 905416312 1018593351 1131770390 1358124468 1697655585 2037186702 2263540780 2716248936 3055780053 3395311170 4074373404 4527081560 5092966755 6111560106 6790622340 8148746808 10185933510 12223120212 13581244680 15278900265 20371867020 24446240424 30557800530 40743734040 61115601060 122231202120