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12220311134340 = 2232567890617413
BaseRepresentation
bin1011000111010100001101…
…0011011110000010000100
31121021020202111100022121200
42301311003103132002010
53100204144122244330
641553533342142500
72400613462525431
oct261650323360204
947236674308550
1012220311134340
113991672063941
121454465581a30
136a84a79b243a
14303675416b88
15162d295bda60
hexb1d434de084

12220311134340 has 36 divisors (see below), whose sum is σ = 37068277108044. Its totient is φ = 3258749635776.

The previous prime is 12220311134333. The next prime is 12220311134347. The reversal of 12220311134340 is 4343111302221.

12220311134340 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 0 + 311 + 1 + 3 + 4 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (12220311134333) and next prime (12220311134347).

It can be written as a sum of positive squares in 2 ways, for example, as 1225993704516 + 10994317429824 = 1107246^2 + 3315768^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (12220311134347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33945308527 + ... + 33945308886.

Almost surely, 212220311134340 is an apocalyptic number.

12220311134340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220311134340 is an abundant number, since it is smaller than the sum of its proper divisors (24847965973704).

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

12220311134340 is a wasteful number, since it uses less digits than its factorization.

12220311134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67890617428 (or 67890617423 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12220311134340 its reverse (4343111302221), we get a palindrome (16563422436561).

The spelling of 12220311134340 in words is "twelve trillion, two hundred twenty billion, three hundred eleven million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67890617413 135781234826 203671852239 271562469652 339453087065 407343704478 611015556717 678906174130 814687408956 1018359261195 1222031113434 1357812348260 2036718522390 2444062226868 3055077783585 4073437044780 6110155567170 12220311134340