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2212112200122 = 234111773021463
BaseRepresentation
bin100000001100001100001…
…010010111000110111010
321211110211220101001110000
4200030030022113012322
5242220401210400442
64412121425333430
7315551126312616
oct40141412270672
97743756331400
102212112200122
11783173738230
122b887ba97276
131307a8040966
14790d1438346
153c81e986d4c
hex2030c2971ba

2212112200122 has 80 divisors (see below), whose sum is σ = 5725466949312. Its totient is φ = 630905431680.

The previous prime is 2212112200121. The next prime is 2212112200127. The reversal of 2212112200122 is 2210022112122.

It is a happy number.

2212112200122 is a `hidden beast` number, since 221 + 211 + 220 + 0 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212112200095 and 2212112200104.

It is not an unprimeable number, because it can be changed into a prime (2212112200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36480438 + ... + 36541025.

Almost surely, 22212112200122 is an apocalyptic number.

2212112200122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212112200122 is an abundant number, since it is smaller than the sum of its proper divisors (3513354749190).

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

2212112200122 is a wasteful number, since it uses less digits than its factorization.

2212112200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73021505 (or 73021496 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212112200122 its reverse (2210022112122), we get a palindrome (4422134312244).

The spelling of 2212112200122 in words is "two trillion, two hundred twelve billion, one hundred twelve million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 297 306 374 459 561 594 891 918 1122 1377 1683 1782 2754 3366 5049 10098 15147 30294 73021463 146042926 219064389 438128778 657193167 803236093 1241364871 1314386334 1606472186 1971579501 2409708279 2482729742 3724094613 3943159002 4819416558 5914738503 7229124837 7448189226 11172283839 11829477006 13655013581 14458249674 21687374511 22344567678 27310027162 33516851517 40965040743 43374749022 65062123533 67033703034 81930081486 100550554551 122895122229 130124247066 201101109102 245790244458 368685366687 737370733374 1106056100061 2212112200122