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12220100020 = 22541127271433
BaseRepresentation
bin10110110000101111…
…11110110110110100
31011112122021101211001
423120113332312310
5200011321200040
65340331053044
7611553064522
oct133027766664
934478241731
1012220100020
115200a23017
1224505a1184
1311c993891b
1483cd53312
154b7c4a59a
hex2d85fedb4

12220100020 has 96 divisors (see below), whose sum is σ = 26654294016. Its totient is φ = 4702924800.

The previous prime is 12220100003. The next prime is 12220100023. The reversal of 12220100020 is 2000102221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28221724 + ... + 28222156.

It is an arithmetic number, because the mean of its divisors is an integer number (277648896).

Almost surely, 212220100020 is an apocalyptic number.

12220100020 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 12220100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13327147008).

12220100020 is an abundant number, since it is smaller than the sum of its proper divisors (14434193996).

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

12220100020 is a wasteful number, since it uses less digits than its factorization.

12220100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12220100020 its reverse (2000102221), we get a palindrome (14220202241).

The spelling of 12220100020 in words is "twelve billion, two hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 127 164 205 254 271 410 433 508 542 635 820 866 1084 1270 1355 1732 2165 2540 2710 4330 5207 5420 8660 10414 11111 17753 20828 22222 26035 34417 35506 44444 52070 54991 55555 68834 71012 88765 104140 109982 111110 117343 137668 172085 177530 219964 222220 234686 274955 344170 355060 469372 549910 586715 688340 1099820 1173430 1411097 2254631 2346860 2822194 4509262 4811063 5644388 7055485 9018524 9622126 11273155 14110970 14902561 19244252 22546310 24055315 28221940 29805122 45092620 48110630 59610244 74512805 96221260 149025610 298051220 611005001 1222010002 2444020004 3055025005 6110050010 12220100020