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12211144119 = 334731130941
BaseRepresentation
bin10110101111101011…
…10100010110110111
31011112000102101122000
423113311310112313
5200002023102434
65335411110343
7611414004156
oct132765642667
934460371560
1012211144119
1151a6966349
1224495a23b3
1311c7b21385
1483baa159d
154b707bb99
hex2d7d745b7

12211144119 has 32 divisors (see below), whose sum is σ = 18535495680. Its totient is φ = 7941679200.

The previous prime is 12211144097. The next prime is 12211144133. The reversal of 12211144119 is 91144111221.

12211144119 is a `hidden beast` number, since 1 + 2 + 211 + 1 + 441 + 1 + 9 = 666.

It is not a de Polignac number, because 12211144119 - 212 = 12211140023 is a prime.

It is a super-2 number, since 2×122111441192 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12211144092 and 12211144101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211144139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379189 + ... + 410129.

It is an arithmetic number, because the mean of its divisors is an integer number (579234240).

Almost surely, 212211144119 is an apocalyptic number.

12211144119 is a deficient number, since it is larger than the sum of its proper divisors (6324351561).

12211144119 is a wasteful number, since it uses less digits than its factorization.

12211144119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31308 (or 31302 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The spelling of 12211144119 in words is "twelve billion, two hundred eleven million, one hundred forty-four thousand, one hundred nineteen".

Divisors: 1 3 9 27 47 141 311 423 933 1269 2799 8397 14617 30941 43851 92823 131553 278469 394659 835407 1454227 4362681 9622651 13088043 28867953 39264129 86603859 259811577 452264597 1356793791 4070381373 12211144119