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2022001222120 = 2351117934328933
BaseRepresentation
bin11101011011001000101…
…010100010000111101000
321011022010202000201212121
4131123020222202013220
5231112024303101440
64144521115321024
7266041034543545
oct35331052420750
97138122021777
102022001222120
1170a586a81690
12287a64150174
1311889b7236b9
146dc1886bbcc
15378e479d34a
hex1d6c8aa21e8

2022001222120 has 128 divisors (see below), whose sum is σ = 5255784714240. Its totient is φ = 691923824640.

The previous prime is 2022001222079. The next prime is 2022001222121. The reversal of 2022001222120 is 212221002202.

It is a junction number, because it is equal to n+sod(n) for n = 2022001222094 and 2022001222103.

It is not an unprimeable number, because it can be changed into a prime (2022001222121) by changing a digit.

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, 69871174 + ... + 69900106.

It is an arithmetic number, because the mean of its divisors is an integer number (41060818080).

Almost surely, 22022001222120 is an apocalyptic number.

2022001222120 is a gapful number since it is divisible by the number (20) 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 2022001222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627892357120).

2022001222120 is an abundant number, since it is smaller than the sum of its proper divisors (3233783492120).

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

2022001222120 is a wasteful number, since it uses less digits than its factorization.

2022001222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38315 (or 38311 counting only the distinct ones).

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

Adding to 2022001222120 its reverse (212221002202), we get a palindrome (2234222224322).

The spelling of 2022001222120 in words is "two trillion, twenty-two billion, one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 9343 18686 28933 37372 46715 57866 74744 93430 102773 115732 144665 158831 186860 205546 231464 289330 317662 318263 373720 411092 491861 513865 578660 635324 636526 794155 822184 983722 1027730 1157320 1270648 1273052 1588310 1591315 1747141 1967444 2055460 2459305 2546104 3176620 3182630 3494282 3934888 4110920 4918610 5410471 6353240 6365260 6988564 8735705 9837220 10820942 12730520 13977128 17471410 19674440 21641884 27052355 34942820 43283768 54104710 69885640 108209420 216418840 270321019 540642038 1081284076 1351605095 2162568152 2703210190 2973531209 4595457323 5406420380 5947062418 9190914646 10812840760 11894124836 14867656045 18381829292 22977286615 23788249672 29735312090 36763658584 45954573230 50550030553 59470624180 91909146460 101100061106 118941248360 183818292920 202200122212 252750152765 404400244424 505500305530 1011000611060 2022001222120