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12002112122 = 27111341146221
BaseRepresentation
bin10110010110110000…
…11011001001111010
31010222110002110122012
423023120123021322
5144040020041442
65302542525522
7603265161350
oct131330331172
933873073565
1012002112122
1150a9974530
1223ab5968a2
131193723cc0
1481c00b7d0
154a3a3b582
hex2cb61b27a

12002112122 has 64 divisors (see below), whose sum is σ = 24761818368. Its totient is φ = 4211136000.

The previous prime is 12002112107. The next prime is 12002112137. The reversal of 12002112122 is 22121120021.

It is an interprime number because it is at equal distance from previous prime (12002112107) and next prime (12002112137).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12002112097 and 12002112106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8972 + ... + 155192.

It is an arithmetic number, because the mean of its divisors is an integer number (386903412).

Almost surely, 212002112122 is an apocalyptic number.

12002112122 is an abundant number, since it is smaller than the sum of its proper divisors (12759706246).

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

12002112122 is a wasteful number, since it uses less digits than its factorization.

12002112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146295.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12002112122 its reverse (22121120021), we get a palindrome (34123232143).

The spelling of 12002112122 in words is "twelve billion, two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 41 77 82 91 143 154 182 286 287 451 533 574 902 1001 1066 2002 3157 3731 5863 6314 7462 11726 41041 82082 146221 292442 1023547 1608431 1900873 2047094 3216862 3801746 5995061 11259017 11990122 13306111 20909603 22518034 26612222 41819206 41965427 65945671 77935793 83930854 131891342 146367221 155871586 292734442 461619697 545550551 857293723 923239394 1091101102 1714587446 6001056061 12002112122