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20121212022000 = 243533353535337
BaseRepresentation
bin1001001001100110101011…
…01100011110110011110000
32122020120100212021012202220
410210303111230132303300
510114131220234201000
6110443320204241040
74144465251143055
oct444632554366360
978216325235686
1020121212022000
1164583a369a231
12230b761240180
13b2c56461158b
144d7c2c54302c
1524d5eb44e1a0
hex124cd5b1ecf0

20121212022000 has 80 divisors (see below), whose sum is σ = 64870787578272. Its totient is φ = 5365656537600.

The previous prime is 20121212021983. The next prime is 20121212022013. The reversal of 20121212022000 is 22021212102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676761669 + ... + 1676773668.

Almost surely, 220121212022000 is an apocalyptic number.

20121212022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121212022000 is an abundant number, since it is smaller than the sum of its proper divisors (44749575556272).

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

20121212022000 is a wasteful number, since it uses less digits than its factorization.

20121212022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353535363 (or 3353535347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20121212022000 its reverse (22021212102), we get a palindrome (20143233234102).

The spelling of 20121212022000 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 3353535337 6707070674 10060606011 13414141348 16767676685 20121212022 26828282696 33535353370 40242424044 50303030055 53656565392 67070706740 80484848088 83838383425 100606060110 134141413480 160969696176 167676766850 201212120220 251515150275 268282826960 335353533700 402424240440 419191917125 503030300550 670707067400 804848480880 838383834250 1006060601100 1257575751375 1341414134800 1676767668500 2012121202200 2515151502750 3353535337000 4024242404400 5030303005500 6707070674000 10060606011000 20121212022000