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12212110020 = 22351130760271
BaseRepresentation
bin10110101111110011…
…00000001011000100
31011112002020110121010
423113321200023010
5200002300010040
65335443522220
7611425136205
oct132771401304
934462213533
1012212110020
1151a7466010
122449989370
1311c809bc06
1483bc735ac
154b71bce80
hex2d7e602c4

12212110020 has 96 divisors (see below), whose sum is σ = 37424572416. Its totient is φ = 2950819200.

The previous prime is 12212110019. The next prime is 12212110093. The reversal of 12212110020 is 2001121221.

It is a super-2 number, since 2×122121100202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12212109978 and 12212110005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172485 + ... + 232755.

It is an arithmetic number, because the mean of its divisors is an integer number (389839296).

Almost surely, 212212110020 is an apocalyptic number.

12212110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712286208).

12212110020 is an abundant number, since it is smaller than the sum of its proper divisors (25212462396).

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

12212110020 is a wasteful number, since it uses less digits than its factorization.

12212110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60601 (or 60599 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12212110020 its reverse (2001121221), we get a palindrome (14213231241).

The spelling of 12212110020 in words is "twelve billion, two hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 307 330 614 660 921 1228 1535 1842 3070 3377 3684 4605 6140 6754 9210 10131 13508 16885 18420 20262 33770 40524 50655 60271 67540 101310 120542 180813 202620 241084 301355 361626 602710 662981 723252 904065 1205420 1325962 1808130 1988943 2651924 3314905 3616260 3977886 6629810 7955772 9944715 13259620 18503197 19889430 37006394 39778860 55509591 74012788 92515985 111019182 185031970 203535167 222038364 277547955 370063940 407070334 555095910 610605501 814140668 1017675835 1110191820 1221211002 2035351670 2442422004 3053027505 4070703340 6106055010 12212110020