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20122220121012 = 22321493751346033
BaseRepresentation
bin1001001001101000100011…
…10010000100101110110100
32122020122222010011221122100
410210310101302010232310
510114140301322333022
6110444004215302100
74144532241635202
oct444642162045664
978218863157570
1020122220121012
116458870744a09
12230b9a297a930
13b2c695425c79
144d7cc639c072
1524d659bd01ac
hex124d11c84bb4

20122220121012 has 36 divisors (see below), whose sum is σ = 51205873364100. Its totient is φ = 6662390552832.

The previous prime is 20122220120881. The next prime is 20122220121037. The reversal of 20122220121012 is 21012102222102.

It is a happy number.

20122220121012 is a `hidden beast` number, since 20 + 1 + 222 + 201 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8355371800356 + 11766848320656 = 2890566^2 + 3430284^2 .

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1875667653 + ... + 1875678380.

It is an arithmetic number, because the mean of its divisors is an integer number (1422385371225).

Almost surely, 220122220121012 is an apocalyptic number.

It is an amenable number.

20122220121012 is an abundant number, since it is smaller than the sum of its proper divisors (31083653243088).

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

20122220121012 is a wasteful number, since it uses less digits than its factorization.

20122220121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751346192 (or 3751346187 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20122220121012 its reverse (21012102222102), we get a palindrome (41134322343114).

The spelling of 20122220121012 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 3751346033 7502692066 11254038099 15005384132 22508076198 33762114297 45016152396 67524228594 135048457188 558950558917 1117901117834 1676851676751 2235802235668 3353703353502 5030555030253 6707406707004 10061110060506 20122220121012