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20121221000 = 235379254699
BaseRepresentation
bin10010101111010100…
…010111011110001000
31220221021121221012102
4102233110113132020
5312202013033000
613124335332532
71311423361616
oct225724273610
956837557172
1020121221000
1185959a5171
123a96681148
131b8883b53a
14d8c43c6b6
157cb7133d5
hex4af517788

20121221000 has 64 divisors (see below), whose sum is σ = 47679840000. Its totient is φ = 7946577600.

The previous prime is 20121220981. The next prime is 20121221033. The reversal of 20121221000 is 12212102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48350 + ... + 206349.

It is an arithmetic number, because the mean of its divisors is an integer number (744997500).

Almost surely, 220121221000 is an apocalyptic number.

20121221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121221000 is an abundant number, since it is smaller than the sum of its proper divisors (27558619000).

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

20121221000 is a wasteful number, since it uses less digits than its factorization.

20121221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254799 (or 254785 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20121221000 its reverse (12212102), we get a palindrome (20133433102).

The spelling of 20121221000 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 3160 3950 7900 9875 15800 19750 39500 79000 254699 509398 1018796 1273495 2037592 2546990 5093980 6367475 10187960 12734950 20121221 25469900 31837375 40242442 50939800 63674750 80484884 100606105 127349500 160969768 201212210 254699000 402424420 503030525 804848840 1006061050 2012122100 2515152625 4024244200 5030305250 10060610500 20121221000