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120222000001020 = 223543161159289141
BaseRepresentation
bin11011010101011101011101…
…100110101010111111111100
3120202200002222212221120022110
4123111131131212222333330
5111224204124000013040
61103405120243214020
734215516143102631
oct3325353546527774
9522602885846273
10120222000001020
1135340955901835
12115979b4677310
135210b6959b418
142198ac0cd2188
15dd73b4208980
hex6d575d9aaffc

120222000001020 has 96 divisors (see below), whose sum is σ = 344453337930240. Its totient is φ = 31313334608640.

The previous prime is 120222000001007. The next prime is 120222000001031. The reversal of 120222000001020 is 20100000222021.

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 = 120222000000987 and 120222000001005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415645650 + ... + 415934790.

It is an arithmetic number, because the mean of its divisors is an integer number (3588055603440).

Almost surely, 2120222000001020 is an apocalyptic number.

120222000001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222000001020 is an abundant number, since it is smaller than the sum of its proper divisors (224231337929220).

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

120222000001020 is a wasteful number, since it uses less digits than its factorization.

120222000001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450355 (or 450353 counting only the distinct ones).

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

Adding to 120222000001020 its reverse (20100000222021), we get a palindrome (140322000223041).

The spelling of 120222000001020 in words is "one hundred twenty trillion, two hundred twenty-two billion, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 161159 289141 322318 483477 578282 644636 805795 867423 966954 1156564 1445705 1611590 1734846 1933908 2417385 2891410 3223180 3469692 4337115 4834770 5782820 6929837 8674230 9669540 12433063 13859674 17348460 20789511 24866126 27719348 34649185 37299189 41579022 49732252 62165315 69298370 74598378 83158044 103947555 124330630 138596740 149196756 186495945 207895110 248661260 372991890 415790220 745983780 46597674419 93195348838 139793023257 186390697676 232988372095 279586046514 465976744190 559172093028 698965116285 931953488380 1397930232570 2003700000017 2795860465140 4007400000034 6011100000051 8014800000068 10018500000085 12022200000102 20037000000170 24044400000204 30055500000255 40074000000340 60111000000510 120222000001020