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1220202011120 = 2451921110693559
BaseRepresentation
bin10001110000011001101…
…101010001100111110000
311022122112222100121101112
4101300121231101213300
5124442433203323440
62332315243452452
7154104512651441
oct21603155214760
94278488317345
101220202011120
11430537252054
12178597227128
138b0abaa2141
14430b55972c8
1521b1855b965
hex11c19b519f0

1220202011120 has 160 divisors (see below), whose sum is σ = 3004087488000. Its totient is φ = 459641226240.

The previous prime is 1220202011117. The next prime is 1220202011143. The reversal of 1220202011120 is 211102020221.

It is a junction number, because it is equal to n+sod(n) for n = 1220202011095 and 1220202011104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342847901 + ... + 342851459.

It is an arithmetic number, because the mean of its divisors is an integer number (18775546800).

Almost surely, 21220202011120 is an apocalyptic number.

1220202011120 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 1220202011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502043744000).

1220202011120 is an abundant number, since it is smaller than the sum of its proper divisors (1783885476880).

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

1220202011120 is a wasteful number, since it uses less digits than its factorization.

1220202011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220202011120 its reverse (211102020221), we get a palindrome (1431304031341).

The spelling of 1220202011120 in words is "one trillion, two hundred twenty billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 211 304 380 422 760 844 1055 1069 1520 1688 2110 2138 3376 3559 4009 4220 4276 5345 7118 8018 8440 8552 10690 14236 16036 16880 17104 17795 20045 20311 21380 28472 32072 35590 40090 40622 42760 56944 64144 67621 71180 80180 81244 85520 101555 135242 142360 160360 162488 203110 225559 270484 284720 320720 324976 338105 406220 451118 540968 676210 750949 812440 902236 1081936 1127795 1352420 1501898 1624880 1804472 2255590 2704840 3003796 3608944 3754745 3804571 4285621 4511180 5409680 6007592 7509490 7609142 8571242 9022360 12015184 14268031 15018980 15218284 17142484 18044720 19022855 21428105 28536062 30037960 30436568 34284968 38045710 42856210 57072124 60075920 60873136 68569936 71340155 72286849 76091420 85712420 114144248 142680310 144573698 152182840 171424840 228288496 285360620 289147396 304365680 342849680 361434245 570721240 578294792 722868490 802764481 1141442480 1156589584 1445736980 1605528962 2891473960 3211057924 4013822405 5782947920 6422115848 8027644810 12844231696 15252525139 16055289620 30505050278 32110579240 61010100556 64221158480 76262625695 122020201112 152525251390 244040402224 305050502780 610101005560 1220202011120