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12122220212010 = 2325414150779147
BaseRepresentation
bin1011000001100110110010…
…1000010010111100101010
31120220212120100222011121100
42300121230220102330222
53042102301333241020
641440512053222230
72360541626455146
oct260315450227452
946825510864540
1012122220212010
113954006314087
12143944b031976
1369c17486436c
142dca0bb44226
151604d7c86a90
hexb066ca12f2a

12122220212010 has 96 divisors (see below), whose sum is σ = 32287684508352. Its totient is φ = 3153632520960.

The previous prime is 12122220211963. The next prime is 12122220212017. The reversal of 12122220212010 is 1021202222121.

It is a happy number.

12122220212010 is a `hidden beast` number, since 121 + 222 + 202 + 120 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12122220212017) 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, 153121257 + ... + 153200403.

It is an arithmetic number, because the mean of its divisors is an integer number (336330046962).

Almost surely, 212122220212010 is an apocalyptic number.

12122220212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122220212010 is an abundant number, since it is smaller than the sum of its proper divisors (20165464296342).

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

12122220212010 is a wasteful number, since it uses less digits than its factorization.

12122220212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120708 (or 120705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122220212010 its reverse (1021202222121), we get a palindrome (13143422434131).

The spelling of 12122220212010 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 41507 79147 83014 124521 158294 207535 237441 249042 373563 395735 415070 474882 622605 712323 747126 791470 1187205 1245210 1424646 1701787 1867815 2374410 3245027 3403574 3561615 3735630 5105361 6490054 7123230 8508935 9735081 10210722 15316083 16225135 17017870 19470162 25526805 29205243 30632166 32450270 48675405 51053610 58410486 76580415 97350810 146026215 153160830 292052430 3285154529 6570309058 9855463587 16425772645 19710927174 29566390761 32851545290 49277317935 59132781522 98554635870 134691335689 147831953805 269382671378 295663907610 404074007067 673456678445 808148014134 1212222021201 1346913356890 2020370035335 2424444042402 4040740070670 6061110106005 12122220212010