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12102010020 = 22325312168819
BaseRepresentation
bin10110100010101011…
…00000010010100100
31011020102001210210100
423101111200102210
5144241103310040
65320512024100
7605620250022
oct132125402244
934212053710
1012102010020
1151502a6281
122418b32030
1311ab330199
1482b3b3712
154ac6c0b30
hex2d15604a4

12102010020 has 72 divisors (see below), whose sum is σ = 37893623040. Its totient is φ = 3123097920.

The previous prime is 12102010009. The next prime is 12102010069. The reversal of 12102010020 is 2001020121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12102009984 and 12102010011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078830 + ... + 1089989.

It is an arithmetic number, because the mean of its divisors is an integer number (526300320).

Almost surely, 212102010020 is an apocalyptic number.

12102010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102010020 is an abundant number, since it is smaller than the sum of its proper divisors (25791613020).

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

12102010020 is a wasteful number, since it uses less digits than its factorization.

12102010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168865 (or 2168860 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12102010020 its reverse (2001020121), we get a palindrome (14103030141).

The spelling of 12102010020 in words is "twelve billion, one hundred two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 2168819 4337638 6506457 8675276 10844095 13012914 19519371 21688190 26025828 32532285 39038742 43376380 65064570 67233389 78077484 97596855 130129140 134466778 195193710 201700167 268933556 336166945 390387420 403400334 605100501 672333890 806800668 1008500835 1210201002 1344667780 2017001670 2420402004 3025502505 4034003340 6051005010 12102010020