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20121112331020 = 2256131641200027
BaseRepresentation
bin1001001001100110011111…
…10000001100001100001100
32122020120002220200101110101
410210303033300030030030
510114131014224043040
6110443302243420444
74144462630605601
oct444631760141414
978216086611411
1020121112331020
116458352399998
12230b733984724
13b2c549a7862c
144d7c1d1d26a8
1524d5e280b09a
hex124ccfc0c30c

20121112331020 has 24 divisors (see below), whose sum is σ = 42323266322064. Its totient is φ = 8035315327296.

The previous prime is 20121112331003. The next prime is 20121112331053. The reversal of 20121112331020 is 2013321112102.

It is a super-3 number, since 3×201211123310203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 820587754 + ... + 820612273.

It is an arithmetic number, because the mean of its divisors is an integer number (1763469430086).

Almost surely, 220121112331020 is an apocalyptic number.

20121112331020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121112331020 is an abundant number, since it is smaller than the sum of its proper divisors (22202153991044).

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

20121112331020 is a wasteful number, since it uses less digits than its factorization.

20121112331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641200649 (or 1641200647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 20121112331020 its reverse (2013321112102), we get a palindrome (22134433443122).

The spelling of 20121112331020 in words is "twenty trillion, one hundred twenty-one billion, one hundred twelve million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 613 1226 2452 3065 6130 12260 1641200027 3282400054 6564800108 8206000135 16412000270 32824000540 1006055616551 2012111233102 4024222466204 5030278082755 10060556165510 20121112331020