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12122210221020 = 22325191352594829
BaseRepresentation
bin1011000001100110110000…
…0010001011101111011100
31120220212112200011120112200
42300121230002023233130
53042102241304033040
641440511055131500
72360541445523664
oct260315402135734
946825480146480
1012122210221020
11395400070a769
121439447813b90
1369c172776933
142dca0a6a31a4
151604d6e61630
hexb066c08bbdc

12122210221020 has 72 divisors (see below), whose sum is σ = 36963221218560. Its totient is φ = 3215664831360.

The previous prime is 12122210221003. The next prime is 12122210221021. The reversal of 12122210221020 is 2012201222121.

It is a happy number.

12122210221020 is a `hidden beast` number, since 1 + 212 + 2 + 210 + 221 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12122210220984 and 12122210221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122210221021) 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, 176263035 + ... + 176331794.

It is an arithmetic number, because the mean of its divisors is an integer number (513378072480).

Almost surely, 212122210221020 is an apocalyptic number.

12122210221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122210221020 is an abundant number, since it is smaller than the sum of its proper divisors (24841010997540).

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

12122210221020 is a wasteful number, since it uses less digits than its factorization.

12122210221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352595035 (or 352595030 counting only the distinct ones).

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

Adding to 12122210221020 its reverse (2012201222121), we get a palindrome (14134411443141).

The spelling of 12122210221020 in words is "twelve trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 352594829 705189658 1057784487 1410379316 1762974145 2115568974 3173353461 3525948290 4231137948 5288922435 6346706922 7051896580 10577844870 12693413844 15866767305 21155689740 31733534610 63467069220 67345612339 134691224678 202036837017 269382449356 336728061695 404073674034 606110511051 673456123390 808147348068 1010184185085 1212221022102 1346912246780 2020368370170 2424442044204 3030552555255 4040736740340 6061105110510 12122210221020