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12102120212 = 22713233314251
BaseRepresentation
bin10110100010101011…
…11011001100010100
31011020102021101221112
423101111323030110
5144241120321322
65320514234152
7605621216210
oct132125731424
934212241845
1012102120212
115150371046
122418b85958
1311ab36b3a0
1482b401940
154ac6e35e2
hex2d157b314

12102120212 has 48 divisors (see below), whose sum is σ = 26079107712. Its totient is φ = 4785264000.

The previous prime is 12102120203. The next prime is 12102120221. The reversal of 12102120212 is 21202120121.

12102120212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12102120203) and next prime (12102120221).

It is a super-2 number, since 2×121021202122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 842087 + ... + 856337.

It is an arithmetic number, because the mean of its divisors is an integer number (543314744).

Almost surely, 212102120212 is an apocalyptic number.

It is an amenable number.

12102120212 is an abundant number, since it is smaller than the sum of its proper divisors (13976987500).

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

12102120212 is a wasteful number, since it uses less digits than its factorization.

12102120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16608 (or 16606 counting only the distinct ones).

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

Adding to 12102120212 its reverse (21202120121), we get a palindrome (33304240333).

Subtracting 12102120212 from its reverse (21202120121), we obtain a palindrome (9099999909).

The spelling of 12102120212 in words is "twelve billion, one hundred two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 2333 4666 9332 14251 16331 28502 30329 32662 57004 60658 65324 99757 121316 185263 199514 212303 370526 399028 424606 741052 849212 1296841 2593682 5187364 33247583 66495166 132990332 232733081 432218579 465466162 864437158 930932324 1728874316 3025530053 6051060106 12102120212