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12002020121301 = 3744338750069
BaseRepresentation
bin1010111010100111000000…
…1001010101101011010101
31120111101022102021220020220
42232221300021111223111
53033120114122340201
641305352452144553
72346055150530000
oct256516011255325
946441272256226
1012002020121301
113908034514941
12141a0a4308159
13690a2a090632
142d6c87dd4537
1515c30045a036
hexaea70255ad5

12002020121301 has 40 divisors (see below), whose sum is σ = 19102854508320. Its totient is φ = 6698801755296.

The previous prime is 12002020121293. The next prime is 12002020121309. The reversal of 12002020121301 is 10312102020021.

12002020121301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12002020121293) and next prime (12002020121309).

It is not a de Polignac number, because 12002020121301 - 23 = 12002020121293 is a prime.

It is a super-2 number, since 2×120020201213012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002020121309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19065306 + ... + 19684763.

It is an arithmetic number, because the mean of its divisors is an integer number (477571362708).

Almost surely, 212002020121301 is an apocalyptic number.

It is an amenable number.

12002020121301 is a deficient number, since it is larger than the sum of its proper divisors (7100834387019).

12002020121301 is an frugal number, since it uses more digits than its factorization.

12002020121301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38750143 (or 38750122 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12002020121301 its reverse (10312102020021), we get a palindrome (22314122141322).

The spelling of 12002020121301 in words is "twelve trillion, two billion, twenty million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 3 7 21 43 49 129 147 301 343 903 1029 2107 2401 6321 7203 14749 44247 103243 309729 38750069 116250207 271250483 813751449 1666252967 1898753381 4998758901 5696260143 11663770769 13291273667 34991312307 39873821001 81646395383 93038915669 244939186149 279116747007 571524767681 1714574303043 4000673373767 12002020121301