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12123220211300 = 225211103107001061
BaseRepresentation
bin1011000001101010100000…
…1110111111011001100100
31120220222011001122101202002
42300122220032333121210
53042111323333230200
641441155214504432
72360605461354032
oct260325016773144
946828131571662
1012123220211300
113954479837380
121439689b05118
1369c2a3aa1113
142dcaa4891552
15160545967bd5
hexb06a83bf664

12123220211300 has 72 divisors (see below), whose sum is σ = 28977599606592. Its totient is φ = 4365643248000.

The previous prime is 12123220211231. The next prime is 12123220211309. The reversal of 12123220211300 is 311202232121.

12123220211300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12123220211309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53387231 + ... + 53613830.

Almost surely, 212123220211300 is an apocalyptic number.

12123220211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123220211300 is an abundant number, since it is smaller than the sum of its proper divisors (16854379395292).

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

12123220211300 is a wasteful number, since it uses less digits than its factorization.

12123220211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107001189 (or 107001182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12123220211300 its reverse (311202232121), we get a palindrome (12434422443421).

The spelling of 12123220211300 in words is "twelve trillion, one hundred twenty-three billion, two hundred twenty million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 4532 5150 5665 10300 11330 22660 28325 56650 113300 107001061 214002122 428004244 535005305 1070010610 1177011671 2140021220 2354023342 2675026525 4708046684 5350053050 5885058355 10700106100 11021109283 11770116710 22042218566 23540233420 29425291775 44084437132 55105546415 58850583550 110211092830 117701167100 121232202113 220422185660 242464404226 275527732075 484928808452 551055464150 606161010565 1102110928300 1212322021130 2424644042260 3030805052825 6061610105650 12123220211300