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20121220121002 = 27111341851240151
BaseRepresentation
bin1001001001100110101100…
…01011011000000110101010
32122020120101102111200111221
410210303112023120012222
510114131224322333002
6110443321054012254
74144465410034240
oct444632613300652
978216342450457
1020121220121002
1164583a8221120
12230b763aa708a
13b2c5661b8aa0
144d7c2d650790
1524d5ebeedc37
hex124cd62d81aa

20121220121002 has 64 divisors (see below), whose sum is σ = 40524992944128. Its totient is φ = 7236199800000.

The previous prime is 20121220120987. The next prime is 20121220121069. The reversal of 20121220121002 is 20012102212102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83665627 + ... + 83905777.

It is an arithmetic number, because the mean of its divisors is an integer number (633203014752).

Almost surely, 220121220121002 is an apocalyptic number.

20121220121002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20121220121002 is an abundant number, since it is smaller than the sum of its proper divisors (20403772823126).

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

20121220121002 is a wasteful number, since it uses less digits than its factorization.

20121220121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282035.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20121220121002 its reverse (20012102212102), we get a palindrome (40133322333104).

Subtracting from 20121220121002 its reverse (20012102212102), we obtain a square (109117908900 = 3303302).

The spelling of 20121220121002 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 41851 83702 240151 292957 460361 480302 544063 585914 920722 1088126 1681057 2641661 3121963 3222527 3362114 3808441 5283322 5984693 6243926 6445054 7616882 11969386 18491627 21853741 34341593 36983254 41892851 43707482 68683186 83785702 240391151 480782302 10050559501 20101119002 70353916507 110556154511 130657273513 140707833014 221112309022 261314547026 773893081577 914600914591 1437230008643 1547786163154 1829201829182 2874460017286 10060610060501 20121220121002