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12002202310212 = 22322391601871303
BaseRepresentation
bin1010111010100111101100…
…0000010101011001000100
31120111101210010010001110100
42232221323000111121010
53033121002242411322
641305422521124100
72346062522233002
oct256517300253104
946441703101410
1012002202310212
113908118342094
12141a135329630
13690a58a4c91a
142d6ca429ba72
1515c311446dac
hexaea7b015644

12002202310212 has 72 divisors (see below), whose sum is σ = 30484905534720. Its totient is φ = 3981501619200.

The previous prime is 12002202310207. The next prime is 12002202310277. The reversal of 12002202310212 is 21201320220021.

12002202310212 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 220 + 231 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13339353 + ... + 14210655.

It is an arithmetic number, because the mean of its divisors is an integer number (423401465760).

Almost surely, 212002202310212 is an apocalyptic number.

12002202310212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002202310212 is an abundant number, since it is smaller than the sum of its proper divisors (18482703224508).

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

12002202310212 is a wasteful number, since it uses less digits than its factorization.

12002202310212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873153 (or 873148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12002202310212 its reverse (21201320220021), we get a palindrome (33203522530233).

The spelling of 12002202310212 in words is "twelve trillion, two billion, two hundred two million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 239 478 717 956 1434 1601 2151 2868 3202 4302 4803 6404 8604 9606 14409 19212 28818 57636 382639 765278 871303 1147917 1530556 1742606 2295834 2613909 3443751 3485212 4591668 5227818 6887502 7841727 10455636 13775004 15683454 31366908 208241417 416482834 624724251 832965668 1249448502 1394956103 1874172753 2498897004 2789912206 3748345506 4184868309 5579824412 7496691012 8369736618 12554604927 16739473236 25109209854 50218419708 333394508617 666789017234 1000183525851 1333578034468 2000367051702 3000550577553 4000734103404 6001101155106 12002202310212