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12122020210100 = 22522937311206453
BaseRepresentation
bin1011000001100110000010…
…1101010110010110110100
31120220212001102122000120012
42300121200231112112310
53042101344133210400
641440440150355352
72360533650462203
oct260314055262664
946825042560505
1012122020210100
113953a1342a749
1214393b405bb58
1369c1422a9238
142dc9cd36123a
151604c542bd35
hexb0660b565b4

12122020210100 has 72 divisors (see below), whose sum is σ = 27284801811960. Its totient is φ = 4669056161280.

The previous prime is 12122020210099. The next prime is 12122020210123. The reversal of 12122020210100 is 101202022121.

It can be written as a sum of positive squares in 12 ways, for example, as 3034375866916 + 9087644343184 = 1741946^2 + 3014572^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4521527 + ... + 6684926.

Almost surely, 212122020210100 is an apocalyptic number.

12122020210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122020210100 is an abundant number, since it is smaller than the sum of its proper divisors (15162781601860).

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

12122020210100 is a wasteful number, since it uses less digits than its factorization.

12122020210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11206869 (or 11206862 counting only the distinct ones).

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

Adding to 12122020210100 its reverse (101202022121), we get a palindrome (12223222232221).

The spelling of 12122020210100 in words is "twelve trillion, one hundred twenty-two billion, twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 373 580 725 746 1450 1492 1865 2900 3730 7460 9325 10817 18650 21634 37300 43268 54085 108170 216340 270425 540850 1081700 11206453 22412906 44825812 56032265 112064530 224129060 280161325 324987137 560322650 649974274 1120645300 1299948548 1624935685 3249871370 4180006969 6499742740 8124678425 8360013938 16249356850 16720027876 20900034845 32498713700 41800069690 83600139380 104500174225 121220202101 209000348450 242440404202 418000696900 484880808404 606101010505 1212202021010 2424404042020 3030505052525 6061010105050 12122020210100