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201222122000020 = 2251126173329104987
BaseRepresentation
bin101101110000001010101101…
…000110100100111010010100
3222101110122110122210012120221
4231300022231012210322110
5202333310401213000040
61551544100001204124
760245550524030452
oct5560125506447224
9871418418705527
10201222122000020
115912a906023490
121a69a241630644
13883821aa72c14
1437992ba1a99d2
15183e3b0e5674a
hexb702ad1a4e94

201222122000020 has 96 divisors (see below), whose sum is σ = 461300658698880. Its totient is φ = 73121052426240.

The previous prime is 201222122000017. The next prime is 201222122000069. The reversal of 201222122000020 is 20000221222102.

It is a junction number, because it is equal to n+sod(n) for n = 201222121999958 and 201222122000003.

It is a congruent number.

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, 1916585967 + ... + 1916690953.

It is an arithmetic number, because the mean of its divisors is an integer number (4805215194780).

Almost surely, 2201222122000020 is an apocalyptic number.

201222122000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222122000020 is an abundant number, since it is smaller than the sum of its proper divisors (260078536698860).

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

201222122000020 is a wasteful number, since it uses less digits than its factorization.

201222122000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110953 (or 110951 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201222122000020 its reverse (20000221222102), we get a palindrome (221222343222122).

The spelling of 201222122000020 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2617 3329 5234 6658 10468 13085 13316 16645 26170 28787 33290 36619 52340 57574 66580 73238 104987 115148 143935 146476 183095 209974 287870 366190 419948 524935 575740 732380 1049870 1154857 2099740 2309714 4619428 5774285 8711993 11548570 17423986 23097140 34847972 43559965 87119930 95831923 174239860 191663846 274750979 349501723 383327692 479159615 549501958 699003446 958319230 1099003916 1373754895 1398006892 1747508615 1916638460 2747509790 3022260769 3495017230 3844518953 5495019580 6044521538 6990034460 7689037906 12089043076 15111303845 15378075812 19222594765 30222607690 38445189530 60445215380 76890379060 914646009091 1829292018182 3658584036364 4573230045455 9146460090910 10061106100001 18292920181820 20122212200002 40244424400004 50305530500005 100611061000010 201222122000020