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12011444004 = 2237829172489
BaseRepresentation
bin10110010111111000…
…00001011100100100
31011000002122120120110
423023330001130210
5144044412202004
65303514533020
7603440406120
oct131374013444
934002576513
1012011444004
11510416872a
1223b2737170
131195640721
1481d35a580
154a4781589
hex2cbf01724

12011444004 has 48 divisors (see below), whose sum is σ = 32069340800. Its totient is φ = 3427681536.

The previous prime is 12011443949. The next prime is 12011444021. The reversal of 12011444004 is 40044411021.

It is a super-2 number, since 2×120114440042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16609 + ... + 155880.

Almost surely, 212011444004 is an apocalyptic number.

12011444004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12011444004 is an abundant number, since it is smaller than the sum of its proper divisors (20057896796).

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

12011444004 is a wasteful number, since it uses less digits than its factorization.

12011444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173332 (or 173330 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12011444004 its reverse (40044411021), we get a palindrome (52055855025).

The spelling of 12011444004 in words is "twelve billion, eleven million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 829 1658 2487 3316 4974 5803 9948 11606 17409 23212 34818 69636 172489 344978 517467 689956 1034934 1207423 2069868 2414846 3622269 4829692 7244538 14489076 142993381 285986762 428980143 571973524 857960286 1000953667 1715920572 2001907334 3002861001 4003814668 6005722002 12011444004