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20222012212000 = 255317329222561
BaseRepresentation
bin1001001100100010011011…
…10110101100001100100000
32122121012112210121102100021
410212101031312230030200
510122304140111241000
6111001510354203224
74154664212466034
oct446211566541440
978535483542307
1020222012212000
11649711a785985
1223271b2b83514
13b38c09b3c511
144dca7197c1c4
1525104aa4c11a
hex12644ddac320

20222012212000 has 96 divisors (see below), whose sum is σ = 49972685044464. Its totient is φ = 8042048512000.

The previous prime is 20222012211991. The next prime is 20222012212001. The reversal of 20222012212000 is 21221022202.

It can be written as a sum of positive squares in 8 ways, for example, as 7626412467216 + 12595599744784 = 2761596^2 + 3549028^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20222012212001) 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 15 ways as a sum of consecutive naturals, for example, 13919281 + ... + 15303280.

Almost surely, 220222012212000 is an apocalyptic number.

20222012212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222012212000 is an abundant number, since it is smaller than the sum of its proper divisors (29750672832464).

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

20222012212000 is a wasteful number, since it uses less digits than its factorization.

20222012212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29222759 (or 29222741 counting only the distinct ones).

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

Adding to 20222012212000 its reverse (21221022202), we get a palindrome (20243233234202).

The spelling of 20222012212000 in words is "twenty trillion, two hundred twenty-two billion, twelve million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 400 500 692 800 865 1000 1384 1730 2000 2768 3460 4000 4325 5536 6920 8650 13840 17300 21625 27680 34600 43250 69200 86500 138400 173000 346000 692000 29222561 58445122 116890244 146112805 233780488 292225610 467560976 584451220 730564025 935121952 1168902440 1461128050 2337804880 2922256100 3652820125 4675609760 5055503053 5844512200 7305640250 10111006106 11689024400 14611280500 20222012212 23378048800 25277515265 29222561000 40444024424 50555030530 58445122000 80888048848 101110061060 116890244000 126387576325 161776097696 202220122120 252775152650 404440244240 505550305300 631937881625 808880488480 1011100610600 1263875763250 2022201221200 2527751526500 4044402442400 5055503053000 10111006106000 20222012212000