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12002202102 = 231123291032647
BaseRepresentation
bin10110010110110001…
…10001000111110110
31010222110021001001210
423023120301013312
5144040030431402
65302544502250
7603266014602
oct131330610766
933873231053
1012002202102
1150a9a260a0
1223ab61a986
131193755c47
1481c032502
154a3a5806c
hex2cb6311f6

12002202102 has 128 divisors (see below), whose sum is σ = 28552642560. Its totient is φ = 3325069440.

The previous prime is 12002202019. The next prime is 12002202109. The reversal of 12002202102 is 20120220021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002202109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4532943 + ... + 4535589.

It is an arithmetic number, because the mean of its divisors is an integer number (223067520).

Almost surely, 212002202102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276321280).

12002202102 is an abundant number, since it is smaller than the sum of its proper divisors (16550440458).

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

12002202102 is a wasteful number, since it uses less digits than its factorization.

12002202102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002202102 its reverse (20120220021), we get a palindrome (32122422123).

The spelling of 12002202102 in words is "twelve billion, two million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 103 138 174 206 253 309 319 506 618 638 667 759 957 1133 1334 1518 1914 2001 2266 2369 2647 2987 3399 4002 4738 5294 5974 6798 7107 7337 7941 8961 14214 14674 15882 17922 22011 26059 29117 32857 44022 52118 58234 60881 65714 68701 76763 78177 87351 98571 121762 137402 153526 156354 174702 182643 197142 206103 230289 272641 365286 412206 460578 545282 669691 755711 817923 844393 1339382 1511422 1635846 1688786 1765549 2009073 2267133 2533179 2999051 3531098 4018146 4534266 5066358 5296647 5998102 6270743 7906589 8997153 10593294 12541486 15813178 17994306 18812229 19421039 23719767 37624458 38842078 47439534 58263117 68978173 86972479 116526234 137956346 173944958 181851547 206934519 260917437 363703094 413869038 521834874 545554641 1091109282 2000367017 4000734034 6001101051 12002202102