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122202102120 = 23357532744881
BaseRepresentation
bin111000111001111010…
…0000001100101101000
3102200102110210222201020
41301303310001211220
54000232214231440
6132045555052440
711554165505130
oct1616364014550
9380373728636
10122202102120
11479099a002a
121b8252a1120
13b6a64a3787
145cb39adac0
1532a348a3d0
hex1c73d01968

122202102120 has 128 divisors (see below), whose sum is σ = 426884048640. Its totient is φ = 27404881920.

The previous prime is 122202102119. The next prime is 122202102131. The reversal of 122202102120 is 21201202221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122202102120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327921 + ... + 1416960.

It is an arithmetic number, because the mean of its divisors is an integer number (3335031630).

Almost surely, 2122202102120 is an apocalyptic number.

122202102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202102120 is an abundant number, since it is smaller than the sum of its proper divisors (304681946520).

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

122202102120 is a wasteful number, since it uses less digits than its factorization.

122202102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744955 (or 2744951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122202102120 its reverse (21201202221), we get a palindrome (143403304341).

The spelling of 122202102120 in words is "one hundred twenty-two billion, two hundred two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 22260 44520 2744881 5489762 8234643 10979524 13724405 16469286 19214167 21959048 27448810 32938572 38428334 41173215 54897620 57642501 65877144 76856668 82346430 96070835 109795240 115285002 145478693 153713336 164692860 192141670 230570004 288212505 290957386 329385720 384283340 436436079 461140008 576425010 581914772 727393465 768566680 872872158 1018350851 1152850020 1163829544 1454786930 1745744316 2036701702 2182180395 2305700040 2909573860 3055052553 3491488632 4073403404 4364360790 5091754255 5819147720 6110105106 8146806808 8728721580 10183508510 12220210212 15275262765 17457443160 20367017020 24440420424 30550525530 40734034040 61101051060 122202102120