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12220111020 = 223513177871171
BaseRepresentation
bin10110110000110000…
…00001100010101100
31011112122021221220110
423120120001202230
5200011322023040
65340331220020
7611553141555
oct133030014254
934478257813
1012220111020
115200a30307
1224505a7610
1311c9940930
1483cd5732c
154b7c4d980
hex2d86018ac

12220111020 has 192 divisors, whose sum is σ = 39098820096. Its totient is φ = 2825072640.

The previous prime is 12220111019. The next prime is 12220111021. The reversal of 12220111020 is 2011102221.

It is an interprime number because it is at equal distance from previous prime (12220111019) and next prime (12220111021).

It is a super-2 number, since 2×122201110202 (a number of 21 digits) contains 22 as substring.

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 = 12220110987 and 12220111005.

It is not an unprimeable number, because it can be changed into a prime (12220111021) 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 63 ways as a sum of consecutive naturals, for example, 10435035 + ... + 10436205.

It is an arithmetic number, because the mean of its divisors is an integer number (203639688).

Almost surely, 212220111020 is an apocalyptic number.

12220111020 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 12220111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19549410048).

12220111020 is an abundant number, since it is smaller than the sum of its proper divisors (26878709076).

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

12220111020 is a wasteful number, since it uses less digits than its factorization.

12220111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220111020 its reverse (2011102221), we get a palindrome (14231213241).

The spelling of 12220111020 in words is "twelve billion, two hundred twenty million, one hundred eleven thousand, twenty".