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12007084217202 = 2322842692346581
BaseRepresentation
bin1010111010111001110111…
…1111010101001101110010
31120111212101100021121212100
42232232131333111031302
53033211002024422302
641311551153241230
72346324511610664
oct256563577251562
946455340247770
1012007084217202
11390a1a3020068
12141b078263216
136913562a1599
142d72087bc534
1515c4e9d22d1c
hexaeb9dfd5372

12007084217202 has 24 divisors (see below), whose sum is σ = 26015451740460. Its totient is φ = 4002345620640.

The previous prime is 12007084217201. The next prime is 12007084217221. The reversal of 12007084217202 is 20271248070021.

12007084217202 is a `hidden beast` number, since 1 + 20 + 0 + 7 + 0 + 8 + 421 + 7 + 202 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10932671118681 + 1074413098521 = 3306459^2 + 1036539^2 .

It is a super-2 number, since 2×120070842172022 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12007084217201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3943552 + ... + 6290132.

Almost surely, 212007084217202 is an apocalyptic number.

12007084217202 is an abundant number, since it is smaller than the sum of its proper divisors (14008367523258).

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

12007084217202 is a wasteful number, since it uses less digits than its factorization.

12007084217202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630858 (or 2630855 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 12007084217202 in words is "twelve trillion, seven billion, eighty-four million, two hundred seventeen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 284269 568538 852807 1705614 2346581 2558421 4693162 5116842 7039743 14079486 21119229 42238458 667060234289 1334120468578 2001180702867 4002361405734 6003542108601 12007084217202