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1220220100020 = 2235971971064263
BaseRepresentation
bin10001110000011010110…
…010010001110110110100
311022122121020101121200210
4101300122302101312310
5124443002321200040
62332321131305420
7154105122500655
oct21603262216664
94278536347623
101220220100020
11430546487559
121785a12ab270
138b0b276672c
14430b7b4552c
1521b19e31480
hex11c1ac91db4

1220220100020 has 96 divisors (see below), whose sum is σ = 3469364414208. Its totient is φ = 320402460672.

The previous prime is 1220220100019. The next prime is 1220220100079. The reversal of 1220220100020 is 200010220221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1220220099969 and 1220220100005.

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, 614409 + ... + 1678671.

It is an arithmetic number, because the mean of its divisors is an integer number (36139212648).

Almost surely, 21220220100020 is an apocalyptic number.

1220220100020 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 1220220100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734682207104).

1220220100020 is an abundant number, since it is smaller than the sum of its proper divisors (2249144314188).

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

1220220100020 is a wasteful number, since it uses less digits than its factorization.

1220220100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064569 (or 1064567 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1220220100020 its reverse (200010220221), we get a palindrome (1420230320241).

The spelling of 1220220100020 in words is "one trillion, two hundred twenty billion, two hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 197 291 388 394 485 582 591 788 970 985 1164 1182 1455 1940 1970 2364 2910 2955 3940 5820 5910 11820 19109 38218 57327 76436 95545 114654 191090 229308 286635 382180 573270 1064263 1146540 2128526 3192789 4257052 5321315 6385578 10642630 12771156 15963945 21285260 31927890 63855780 103233511 206467022 209659811 309700533 412934044 419319622 516167555 619401066 628979433 838639244 1032335110 1048299055 1238802132 1257958866 1548502665 2064670220 2096598110 2515917732 3097005330 3144897165 4193196220 6194010660 6289794330 12579588660 20337001667 40674003334 61011005001 81348006668 101685008335 122022010002 203370016670 244044020004 305055025005 406740033340 610110050010 1220220100020