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2012122020 = 2235156721401
BaseRepresentation
bin111011111101110…
…1000101110100100
312012020011101111210
41313323220232210
513110100401040
6531354431420
7100601516646
oct16773505644
95166141453
102012122020
11942877067
12481a32570
13260b2ca5c
14151332896
15bb9a9480
hex77ee8ba4

2012122020 has 48 divisors (see below), whose sum is σ = 5637800448. Its totient is φ = 536198400.

The previous prime is 2012122003. The next prime is 2012122031. The reversal of 2012122020 is 202212102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2012121987 and 2012122005.

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 15 ways as a sum of consecutive naturals, for example, 83320 + ... + 104720.

It is an arithmetic number, because the mean of its divisors is an integer number (117454176).

Almost surely, 22012122020 is an apocalyptic number.

2012122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012122020 is an abundant number, since it is smaller than the sum of its proper divisors (3625678428).

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

2012122020 is a wasteful number, since it uses less digits than its factorization.

2012122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22980 (or 22978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2012122020 is about 44856.6831141136. The cubic root of 2012122020 is about 1262.4613891404.

Adding to 2012122020 its reverse (202212102), we get a palindrome (2214334122).

The spelling of 2012122020 in words is "two billion, twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1567 3134 4701 6268 7835 9402 15670 18804 21401 23505 31340 42802 47010 64203 85604 94020 107005 128406 214010 256812 321015 428020 642030 1284060 33535367 67070734 100606101 134141468 167676835 201212202 335353670 402424404 503030505 670707340 1006061010 2012122020