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12000414211419 = 35997698958251
BaseRepresentation
bin1010111010100001000001…
…1011010001110101011011
31120111020011111111020001010
42232220100123101311123
53033103322014231134
641304525244025003
72346000310523664
oct256502033216533
946436144436033
1012000414211419
11390738aa76a97
121419916532163
136908324688ba
142d6b74a0236b
1515c25948ece9
hexaea106d1d5b

12000414211419 has 16 divisors (see below), whose sum is σ = 16439498087040. Its totient is φ = 7783599072000.

The previous prime is 12000414211351. The next prime is 12000414211439. The reversal of 12000414211419 is 91411241400021.

12000414211419 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12000414211419 - 219 = 12000413687131 is a prime.

It is a super-2 number, since 2×120004142114192 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12000414211439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349461957 + ... + 349496294.

It is an arithmetic number, because the mean of its divisors is an integer number (1027468630440).

Almost surely, 212000414211419 is an apocalyptic number.

12000414211419 is a deficient number, since it is larger than the sum of its proper divisors (4439083875621).

12000414211419 is an equidigital number, since it uses as much as digits as its factorization.

12000414211419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698958410.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 12000414211419 in words is "twelve trillion, four hundred fourteen million, two hundred eleven thousand, four hundred nineteen".

Divisors: 1 3 59 97 177 291 5723 17169 698958251 2096874753 41238536809 67798950347 123715610427 203396851041 4000138070473 12000414211419