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12022021120 = 21052838297
BaseRepresentation
bin10110011001001000…
…10111110000000000
31011000211112221122111
423030210113300000
5144110114133440
65304533345104
7603626331154
oct131444276000
934024487574
1012022021120
11510a13244a
1223b6198194
1311978a4b85
14820911064
154a56704ea
hex2cc917c00

12022021120 has 88 divisors (see below), whose sum is σ = 28944154224. Its totient is φ = 4791238656.

The previous prime is 12022021097. The next prime is 12022021127. The reversal of 12022021120 is 2112022021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12022021120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1444812 + ... + 1453108.

Almost surely, 212022021120 is an apocalyptic number.

12022021120 is a gapful number since it is divisible by the number (10) 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 12022021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472077112).

12022021120 is an abundant number, since it is smaller than the sum of its proper divisors (16922133104).

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

12022021120 is an equidigital number, since it uses as much as digits as its factorization.

12022021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8605 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12022021120 its reverse (2112022021), we get a palindrome (14134043141).

Subtracting from 12022021120 its reverse (2112022021), we obtain a palindrome (9909999099).

The spelling of 12022021120 in words is "twelve billion, twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 283 320 512 566 640 1024 1132 1280 1415 2264 2560 2830 4528 5120 5660 8297 9056 11320 16594 18112 22640 33188 36224 41485 45280 66376 72448 82970 90560 132752 144896 165940 181120 265504 289792 331880 362240 531008 663760 724480 1062016 1327520 1448960 2124032 2348051 2655040 4248064 4696102 5310080 8496128 9392204 10620160 11740255 18784408 21240320 23480510 37568816 42480640 46961020 75137632 93922040 150275264 187844080 300550528 375688160 601101056 751376320 1202202112 1502752640 2404404224 3005505280 6011010560 12022021120