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12014095441452 = 223131719568941911
BaseRepresentation
bin1010111011010011111111…
…1001000001111000101100
31120112112110222010201102120
42232310333321001320230
53033314331413111302
641315111012152540
72346663325206006
oct256647771017054
946475428121376
1012014095441452
113912170740675
1214204b4308750
13691c02a073a0
142d76b1a1b376
1515c7aa6079bc
hexaed3fe41e2c

12014095441452 has 192 divisors, whose sum is σ = 33654195993600. Its totient is φ = 3295421521920.

The previous prime is 12014095441451. The next prime is 12014095441483. The reversal of 12014095441452 is 25414459041021.

It is not an unprimeable number, because it can be changed into a prime (12014095441451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286636377 + ... + 286678287.

It is an arithmetic number, because the mean of its divisors is an integer number (175282270800).

Almost surely, 212014095441452 is an apocalyptic number.

12014095441452 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 12014095441452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16827097996800).

12014095441452 is an abundant number, since it is smaller than the sum of its proper divisors (21640100552148).

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

12014095441452 is a wasteful number, since it uses less digits than its factorization.

12014095441452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47656 (or 47654 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 12014095441452 in words is "twelve trillion, fourteen billion, ninety-five million, four hundred forty-one thousand, four hundred fifty-two".