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12210320211020 = 22517436171353613
BaseRepresentation
bin1011000110101110111111…
…0011000111110001001100
31121020021222012122211100122
42301223233303013301030
53100023213433223040
641545202122044112
72400111055216211
oct261535763076114
947207865584318
1012210320211020
113988405489318
121452537649638
136a7574b524a9
14302da8577b08
151629424051b5
hexb1aefcc7c4c

12210320211020 has 96 divisors (see below), whose sum is σ = 27826448747328. Its totient is φ = 4482643156992.

The previous prime is 12210320210897. The next prime is 12210320211031. The reversal of 12210320211020 is 2011202301221.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12210320211020.

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, 8343734 + ... + 9697346.

It is an arithmetic number, because the mean of its divisors is an integer number (289858841118).

Almost surely, 212210320211020 is an apocalyptic number.

12210320211020 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 12210320211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913224373664).

12210320211020 is an abundant number, since it is smaller than the sum of its proper divisors (15616128536308).

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

12210320211020 is a wasteful number, since it uses less digits than its factorization.

12210320211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354299 (or 1354297 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12210320211020 its reverse (2011202301221), we get a palindrome (14221522512241).

The spelling of 12210320211020 in words is "twelve trillion, two hundred ten billion, three hundred twenty million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 617 731 860 1234 1462 2468 2924 3085 3655 6170 7310 10489 12340 14620 20978 26531 41956 52445 53062 104890 106124 132655 209780 265310 451027 530620 902054 1353613 1804108 2255135 2707226 4510270 5414452 6768065 9020540 13536130 23011421 27072260 46022842 58205359 92045684 115057105 116410718 230114210 232821436 291026795 460228420 582053590 835179221 989491103 1164107180 1670358442 1978982206 3340716884 3957964412 4175896105 4947455515 8351792210 9894911030 14198046757 16703584420 19789822060 28396093514 35912706503 56792187028 70990233785 71825413006 141980467570 143650826012 179563532515 283960935140 359127065030 610516010551 718254130060 1221032021102 2442064042204 3052580052755 6105160105510 12210320211020