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12022210020 = 2235557359731
BaseRepresentation
bin10110011001001010…
…00101110111100100
31011000211220112202210
423030211011313210
5144110141210040
65304541403420
7603631045662
oct131445056744
934024815683
1012022210020
11510a251367
1223b6269570
13119793cb52
1482095dc32
154a56ab480
hex2cc945de4

12022210020 has 48 divisors (see below), whose sum is σ = 33722716608. Its totient is φ = 3200158080.

The previous prime is 12022209961. The next prime is 12022210027. The reversal of 12022210020 is 2001222021.

12022210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12022209978 and 12022210005.

It is not an unprimeable number, because it can be changed into a prime (12022210027) 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 15 ways as a sum of consecutive naturals, for example, 146446 + ... + 213285.

It is an arithmetic number, because the mean of its divisors is an integer number (702556596).

Almost surely, 212022210020 is an apocalyptic number.

12022210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022210020 is an abundant number, since it is smaller than the sum of its proper divisors (21700506588).

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

12022210020 is a wasteful number, since it uses less digits than its factorization.

12022210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360300 (or 360298 counting only the distinct ones).

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

Adding to 12022210020 its reverse (2001222021), we get a palindrome (14023432041).

The spelling of 12022210020 in words is "twelve billion, twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 557 1114 1671 2228 2785 3342 5570 6684 8355 11140 16710 33420 359731 719462 1079193 1438924 1798655 2158386 3597310 4316772 5395965 7194620 10791930 21583860 200370167 400740334 601110501 801480668 1001850835 1202221002 2003701670 2404442004 3005552505 4007403340 6011105010 12022210020