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12000001220 = 2251588137781
BaseRepresentation
bin10110010110100000…
…10111110011000100
31010222022010020000122
423023100113303010
5144034000014340
65302425401112
7603241220204
oct131320276304
933868106018
1012000001220
1150a8762589
1223aa939198
13119316524c
1481ba1c404
154a3770db5
hex2cb417cc4

12000001220 has 24 divisors (see below), whose sum is σ = 25202256408. Its totient is φ = 4799571200.

The previous prime is 12000001159. The next prime is 12000001231. The reversal of 12000001220 is 2210000021.

It can be written as a sum of positive squares in 4 ways, for example, as 5782994116 + 6217007104 = 76046^2 + 78848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12000001198 and 12000001207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298730 + ... + 336510.

It is an arithmetic number, because the mean of its divisors is an integer number (1050094017).

Almost surely, 212000001220 is an apocalyptic number.

12000001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000001220 is an abundant number, since it is smaller than the sum of its proper divisors (13202255188).

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

12000001220 is a wasteful number, since it uses less digits than its factorization.

12000001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53671 (or 53669 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12000001220 its reverse (2210000021), we get a palindrome (14210001241).

The spelling of 12000001220 in words is "twelve billion, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 15881 31762 37781 63524 75562 79405 151124 158810 188905 317620 377810 755620 600000061 1200000122 2400000244 3000000305 6000000610 12000001220