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12122122021220 = 22512011997252713
BaseRepresentation
bin1011000001100110011011…
…0001101110100101100100
31120220212022112012120011102
42300121212301232211210
53042102101214134340
641440454224455232
72360536325036501
oct260314661564544
946825275176142
1012122122021220
113953a65948972
12143942217a518
1369c15a4051c3
142dc9dcaa44a8
151604ce33d215
hexb0666c6e964

12122122021220 has 48 divisors (see below), whose sum is σ = 25490511124848. Its totient is φ = 4842366259200.

The previous prime is 12122122021201. The next prime is 12122122021271. The reversal of 12122122021220 is 2212022122121.

It can be written as a sum of positive squares in 8 ways, for example, as 5214865497664 + 6907256523556 = 2283608^2 + 2628166^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12122122021192 and 12122122021201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47841584 + ... + 48094296.

It is an arithmetic number, because the mean of its divisors is an integer number (531052315101).

Almost surely, 212122122021220 is an apocalyptic number.

12122122021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122122021220 is an abundant number, since it is smaller than the sum of its proper divisors (13368389103628).

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

12122122021220 is a wasteful number, since it uses less digits than its factorization.

12122122021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255920 (or 255918 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12122122021220 its reverse (2212022122121), we get a palindrome (14334144143341).

The spelling of 12122122021220 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1201 1997 2402 3994 4804 6005 7988 9985 12010 19970 24020 39940 252713 505426 1010852 1263565 2398397 2527130 4796794 5054260 9593588 11991985 23983970 47967940 303508313 504667861 607016626 1009335722 1214033252 1517541565 2018671444 2523339305 3035083130 5046678610 6070166260 10093357220 606106101061 1212212202122 2424424404244 3030530505305 6061061010610 12122122021220