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12052171872 = 2533131318191
BaseRepresentation
bin10110011100101110…
…11000110001100000
31011002221021202201000
423032113120301200
5144140323444442
65311531512000
7604443525216
oct131627306140
934087252630
1012052171872
115125156124
1224042b8600
1311a0c00660
1482491ccb6
154a8128d4c
hex2ce5d8c60

12052171872 has 192 divisors, whose sum is σ = 38149816320. Its totient is φ = 3679603200.

The previous prime is 12052171853. The next prime is 12052171891. The reversal of 12052171872 is 27817125021.

12052171872 is a `hidden beast` number, since 120 + 521 + 7 + 1 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12052171853) and next prime (12052171891).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467297 + ... + 1475487.

It is an arithmetic number, because the mean of its divisors is an integer number (198696960).

Almost surely, 212052171872 is an apocalyptic number.

12052171872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12052171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19074908160).

12052171872 is an abundant number, since it is smaller than the sum of its proper divisors (26097644448).

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

12052171872 is a wasteful number, since it uses less digits than its factorization.

12052171872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Adding to 12052171872 its reverse (27817125021), we get a palindrome (39869296893).

The spelling of 12052171872 in words is "twelve billion, fifty-two million, one hundred seventy-one thousand, eight hundred seventy-two".