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12002122120 = 2352910346657
BaseRepresentation
bin10110010110110000…
…11101100110001000
31010222110002222100111
423023120131212020
5144040020401440
65302543044104
7603265232452
oct131330354610
933873088314
1012002122120
1150a9980a9a
1223ab5a0634
131193728711
1481c0112d2
154a3a3e4ea
hex2cb61d988

12002122120 has 32 divisors (see below), whose sum is σ = 27935976600. Its totient is φ = 4635301888.

The previous prime is 12002122087. The next prime is 12002122159. The reversal of 12002122120 is 2122120021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9811694916 + 2190427204 = 99054^2 + 46802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12002122120.

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, 5172169 + ... + 5174488.

Almost surely, 212002122120 is an apocalyptic number.

12002122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002122120 is an abundant number, since it is smaller than the sum of its proper divisors (15933854480).

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

12002122120 is a wasteful number, since it uses less digits than its factorization.

12002122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346697 (or 10346693 counting only the distinct ones).

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

Adding to 12002122120 its reverse (2122120021), we get a palindrome (14124242141).

The spelling of 12002122120 in words is "twelve billion, two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 10346657 20693314 41386628 51733285 82773256 103466570 206933140 300053053 413866280 600106106 1200212212 1500265265 2400424424 3000530530 6001061060 12002122120