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1222121020020 = 2235612269147163
BaseRepresentation
bin10001110010001100000…
…101101101101001110100
311022211111201022100201020
4101302030011231221310
5130010400440120040
62333233514501140
7154203204161535
oct21621405555164
94284451270636
101222121020020
1143133150091a
12178a31a347b0
138b32652cc74
14432183ac68c
1521bcbc71cd0
hex11c8c16da74

1222121020020 has 96 divisors (see below), whose sum is σ = 3479592708480. Its totient is φ = 320412879360.

The previous prime is 1222121020007. The next prime is 1222121020061. The reversal of 1222121020020 is 200201212221.

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

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, 8230959 + ... + 8378121.

It is an arithmetic number, because the mean of its divisors is an integer number (36245757380).

Almost surely, 21222121020020 is an apocalyptic number.

1222121020020 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 1222121020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739796354240).

1222121020020 is an abundant number, since it is smaller than the sum of its proper divisors (2257471688460).

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

1222121020020 is a wasteful number, since it uses less digits than its factorization.

1222121020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149505 (or 149503 counting only the distinct ones).

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

Adding to 1222121020020 its reverse (200201212221), we get a palindrome (1422322232241).

The spelling of 1222121020020 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 2269 3660 4538 6807 9076 11345 13614 22690 27228 34035 45380 68070 136140 138409 147163 276818 294326 415227 441489 553636 588652 692045 735815 830454 882978 1384090 1471630 1660908 1765956 2076135 2207445 2768180 2943260 4152270 4414890 8304540 8829780 8976943 17953886 26930829 35907772 44884715 53861658 89769430 107723316 134654145 179538860 269308290 333912847 538616580 667825694 1001738541 1335651388 1669564235 2003477082 3339128470 4006954164 5008692705 6678256940 10017385410 20034770820 20368683667 40737367334 61106051001 81474734668 101843418335 122212102002 203686836670 244424204004 305530255005 407373673340 611060510010 1222121020020