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12232300020 = 22351723515101
BaseRepresentation
bin10110110010001101…
…00001010111110100
31011120111020020001220
423121012201113310
5200022432100040
65341444350340
7612061556163
oct133106412764
934514206056
1012232300020
1152078a6066
1224546a53b0
1311cc31a965
1484080b3da
154b8d5a2d0
hex2d91a15f4

12232300020 has 96 divisors (see below), whose sum is σ = 36287709696. Its totient is φ = 3068160000.

The previous prime is 12232300019. The next prime is 12232300033. The reversal of 12232300020 is 2000323221.

12232300020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2395470 + ... + 2400570.

It is an arithmetic number, because the mean of its divisors is an integer number (377996976).

Almost surely, 212232300020 is an apocalyptic number.

12232300020 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 12232300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18143854848).

12232300020 is an abundant number, since it is smaller than the sum of its proper divisors (24055409676).

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

12232300020 is a wasteful number, since it uses less digits than its factorization.

12232300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12232300020 its reverse (2000323221), we get a palindrome (14232623241).

The spelling of 12232300020 in words is "twelve billion, two hundred thirty-two million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2351 4702 5101 7053 9404 10202 11755 14106 15303 20404 23510 25505 28212 30606 35265 39967 47020 51010 61212 70530 76515 79934 86717 102020 119901 141060 153030 159868 173434 199835 239802 260151 306060 346868 399670 433585 479604 520302 599505 799340 867170 1040604 1199010 1300755 1734340 2398020 2601510 5203020 11992451 23984902 35977353 47969804 59962255 71954706 119924510 143909412 179886765 203871667 239849020 359773530 407743334 611615001 719547060 815486668 1019358335 1223230002 2038716670 2446460004 3058075005 4077433340 6116150010 12232300020