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12066941952 = 210341319231
BaseRepresentation
bin10110011110011111…
…01110110000000000
31011010222002011110000
423033033232300000
5144203114120302
65313220240000
7605013212532
oct131717566000
934128064400
1012066941952
1151325240aa
122409240000
1311a3ca2450
14826885852
154a959531c
hex2cf3eec00

12066941952 has 660 divisors, whose sum is σ = 42277198656. Its totient is φ = 3404021760.

The previous prime is 12066941947. The next prime is 12066941987. The reversal of 12066941952 is 25914966021.

12066941952 is a `hidden beast` number, since 120 + 6 + 69 + 419 + 52 = 666.

12066941952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120669419522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12066941898 and 12066941907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 389256177 + ... + 389256207.

Almost surely, 212066941952 is an apocalyptic number.

12066941952 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 12066941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138599328).

12066941952 is an abundant number, since it is smaller than the sum of its proper divisors (30210256704).

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

12066941952 is a wasteful number, since it uses less digits than its factorization.

12066941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12066941952 in words is "twelve billion, sixty-six million, nine hundred forty-one thousand, nine hundred fifty-two".