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12001313121320 = 235349859692917
BaseRepresentation
bin1010111010100100011000…
…0000010110010000101000
31120111022111010221120121102
42232221012000112100220
53033112142124340240
641305154354500532
72346031504242365
oct256510600262050
946438433846542
1012001313121320
113907801424336
121419b27594748
13690946770053
142d6c1c15746c
1515c2ad353815
hexaea46016428

12001313121320 has 32 divisors (see below), whose sum is σ = 27080326917000. Its totient is φ = 4786770156288.

The previous prime is 12001313121319. The next prime is 12001313121359. The reversal of 12001313121320 is 2312131310021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6983112783364 + 5018200337956 = 2642558^2 + 2240134^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12001313121292 and 12001313121301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429832499 + ... + 429860418.

Almost surely, 212001313121320 is an apocalyptic number.

12001313121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001313121320 is an abundant number, since it is smaller than the sum of its proper divisors (15079013795680).

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

12001313121320 is a wasteful number, since it uses less digits than its factorization.

12001313121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859693277 (or 859693273 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12001313121320 its reverse (2312131310021), we get a palindrome (14313444431341).

The spelling of 12001313121320 in words is "twelve trillion, one billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2792 3490 6980 13960 859692917 1719385834 3438771668 4298464585 6877543336 8596929170 17193858340 34387716680 300032828033 600065656066 1200131312132 1500164140165 2400262624264 3000328280330 6000656560660 12001313121320