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20121201000 = 23325331411759
BaseRepresentation
bin10010101111010100…
…010010100101101000
31220221021120220202200
4102233110102211220
5312202011413000
613124335100200
71311423246405
oct225724224550
956837526680
1020121201000
11859599113a
123a96671660
131b888323c4
14d8c4352ac
157cb70c500
hex4af512968

20121201000 has 384 divisors, whose sum is σ = 71956684800. Its totient is φ = 5063040000.

The previous prime is 20121200989. The next prime is 20121201017. The reversal of 20121201000 is 10212102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11438121 + ... + 11439879.

It is an arithmetic number, because the mean of its divisors is an integer number (187387200).

Almost surely, 220121201000 is an apocalyptic number.

20121201000 is a gapful number since it is divisible by the number (20) 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 20121201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35978342400).

20121201000 is an abundant number, since it is smaller than the sum of its proper divisors (51835483800).

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

20121201000 is a wasteful number, since it uses less digits than its factorization.

20121201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1841 counting only the distinct ones).

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

Adding to 20121201000 its reverse (10212102), we get a palindrome (20131413102).

The spelling of 20121201000 in words is "twenty billion, one hundred twenty-one million, two hundred one thousand".