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12121022100 = 223521117216061
BaseRepresentation
bin10110100100111100…
…00001111010010100
31011021201211201110110
423102132001322110
5144310440201400
65322431323020
7606240662565
oct132236017224
934251751413
1012121022100
115160001340
122423380470
1311b2258a35
1482db2216c
154ae1c8e50
hex2d2781e94

12121022100 has 144 divisors (see below), whose sum is σ = 40509032256. Its totient is φ = 2765568000.

The previous prime is 12121022077. The next prime is 12121022101. The reversal of 12121022100 is 122012121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51931 + ... + 164130.

It is an arithmetic number, because the mean of its divisors is an integer number (281312724).

Almost surely, 212121022100 is an apocalyptic number.

12121022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121022100 is an abundant number, since it is smaller than the sum of its proper divisors (28388010156).

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

12121022100 is a wasteful number, since it uses less digits than its factorization.

12121022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216106 (or 216099 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12121022100 its reverse (122012121), we get a palindrome (12243034221).

The spelling of 12121022100 in words is "twelve billion, one hundred twenty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 216061 432122 648183 864244 1080305 1296366 2160610 2376671 2592732 3240915 3673037 4321220 4753342 5401525 6481830 7130013 7346074 9506684 10803050 11019111 11883355 12963660 14260026 14692148 16204575 18365185 21606100 22038222 23766710 28520052 32409150 35650065 36730370 40403407 44076444 47533420 55095555 59416775 64818300 71300130 73460740 80806814 91825925 110191110 118833550 121210221 142600260 161613628 178250325 183651850 202017035 220382220 237667100 242420442 275477775 356500650 367303700 404034070 484840884 550955550 606051105 713001300 808068140 1010085175 1101911100 1212102210 2020170350 2424204420 3030255525 4040340700 6060511050 12121022100