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20121000012 = 22321732877451
BaseRepresentation
bin10010101111010011…
…100001100001001100
31220221021012201001200
4102233103201201030
5312201434000022
613124330505500
71311421451421
oct225723414114
956837181050
1020121000012
118595864133
123a96595290
131b88791a89
14d8c3c1d48
157cb6bcbac
hex4af4e184c

20121000012 has 36 divisors (see below), whose sum is σ = 53853266376. Its totient is φ = 6312470400.

The previous prime is 20120999993. The next prime is 20121000013. The reversal of 20121000012 is 21000012102.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 20120999958 and 20121000003.

It is not an unprimeable number, because it can be changed into a prime (20121000013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16438114 + ... + 16439337.

It is an arithmetic number, because the mean of its divisors is an integer number (1495924066).

Almost surely, 220121000012 is an apocalyptic number.

It is an amenable number.

20121000012 is an abundant number, since it is smaller than the sum of its proper divisors (33732266364).

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

20121000012 is a wasteful number, since it uses less digits than its factorization.

20121000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32877478 (or 32877473 counting only the distinct ones).

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

Adding to 20121000012 its reverse (21000012102), we get a palindrome (41121012114).

The spelling of 20121000012 in words is "twenty billion, one hundred twenty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 32877451 65754902 98632353 131509804 197264706 295897059 394529412 558916667 591794118 1117833334 1183588236 1676750001 2235666668 3353500002 5030250003 6707000004 10060500006 20121000012