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12000021012 = 22327323293147
BaseRepresentation
bin10110010110100000…
…11100101000010100
31010222022011020011200
423023100130220110
5144034001133022
65302430032500
7603241332000
oct131320345024
933868136150
1012000021012
1150a8776441
1223aa948730
131193171265
1481ba25700
154a3776bac
hex2cb41ca14

12000021012 has 576 divisors, whose sum is σ = 40255488000. Its totient is φ = 2999082240.

The previous prime is 12000020953. The next prime is 12000021031. The reversal of 12000021012 is 21012000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000020985 and 12000021003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255319573 + ... + 255319619.

It is an arithmetic number, because the mean of its divisors is an integer number (69888000).

Almost surely, 212000021012 is an apocalyptic number.

12000021012 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 12000021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127744000).

12000021012 is an abundant number, since it is smaller than the sum of its proper divisors (28255466988).

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

12000021012 is a wasteful number, since it uses less digits than its factorization.

12000021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000021012 its reverse (21012000021), we get a palindrome (33012021033).

The spelling of 12000021012 in words is "twelve billion, twenty-one thousand, twelve".