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12221002020 = 2235411012487
BaseRepresentation
bin10110110000110110…
…11011000100100100
31011112200222020010110
423120123123010210
5200012034031040
65340402253020
7611563542333
oct133033330444
934480866113
1012221002020
115201489777
122450957170
1311c9b93356
1483d109d1a
154b7d77980
hex2d86db124

12221002020 has 144 divisors (see below), whose sum is σ = 35476608384. Its totient is φ = 3141504000.

The previous prime is 12221001997. The next prime is 12221002021. The reversal of 12221002020 is 2020012221.

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 = 12221001987 and 12221002005.

It is not an unprimeable number, because it can be changed into a prime (12221002021) 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, 25094217 + ... + 25094703.

It is an arithmetic number, because the mean of its divisors is an integer number (246365336).

Almost surely, 212221002020 is an apocalyptic number.

12221002020 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 12221002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738304192).

12221002020 is an abundant number, since it is smaller than the sum of its proper divisors (23255606364).

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

12221002020 is a wasteful number, since it uses less digits than its factorization.

12221002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12221002020 its reverse (2020012221), we get a palindrome (14241014241).

The spelling of 12221002020 in words is "twelve billion, two hundred twenty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 101 123 164 202 205 246 303 404 410 487 492 505 606 615 820 974 1010 1212 1230 1461 1515 1948 2020 2435 2460 2922 3030 4141 4870 5844 6060 7305 8282 9740 10201 12423 14610 16564 19967 20402 20705 24846 29220 30603 39934 40804 41410 49187 49692 51005 59901 61206 62115 79868 82820 98374 99835 102010 119802 122412 124230 147561 153015 196748 199670 204020 239604 245935 248460 295122 299505 306030 399340 418241 491870 590244 599010 612060 737805 836482 983740 1198020 1254723 1475610 1672964 2016667 2091205 2509446 2951220 4033334 4182410 4967887 5018892 6050001 6273615 8066668 8364820 9935774 10083335 12100002 12547230 14903661 19871548 20166670 24200004 24839435 25094460 29807322 30250005 40333340 49678870 59614644 60500010 74518305 99357740 121000020 149036610 203683367 298073220 407366734 611050101 814733468 1018416835 1222100202 2036833670 2444200404 3055250505 4073667340 6110501010 12221002020