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20121211121000 = 2353112166291001
BaseRepresentation
bin1001001001100110101011…
…01001000010110101101000
32122020120100210120102211112
410210303111221002311220
510114131220021333000
6110443320133045452
74144465240401203
oct444632551026550
978216323512745
1020121211121000
1164583a3134300
12230b760a86888
13b2c564387442
144d7c2c38a93a
1524d5eb322235
hex124cd5a42d68

20121211121000 has 96 divisors (see below), whose sum is σ = 51753085642440. Its totient is φ = 7316804000000.

The previous prime is 20121211120979. The next prime is 20121211121069. The reversal of 20121211121000 is 12111212102.

It can be written as a sum of positive squares in 4 ways, for example, as 11555743591876 + 8565467529124 = 3399374^2 + 2926682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83024501 + ... + 83266500.

Almost surely, 220121211121000 is an apocalyptic number.

20121211121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121211121000 is an abundant number, since it is smaller than the sum of its proper divisors (31631874521440).

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

20121211121000 is a wasteful number, since it uses less digits than its factorization.

20121211121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166291044 (or 166291019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20121211121000 its reverse (12111212102), we get a palindrome (20133322333102).

The spelling of 20121211121000 in words is "twenty trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 166291001 332582002 665164004 831455005 1330328008 1662910010 1829201011 3325820020 3658402022 4157275025 6651640040 7316804044 8314550050 9146005055 14633608088 16629100100 18292010110 20121211121 20786375125 33258200200 36584020220 40242422242 41572750250 45730025275 73168040440 80484844484 83145500500 91460050550 100606055605 160969688968 166291001000 182920101100 201212111210 228650126375 365840202200 402424222420 457300252750 503030278025 804848444840 914600505500 1006060556050 1829201011000 2012121112100 2515151390125 4024242224200 5030302780250 10060605560500 20121211121000