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1001220122112 = 293793119431
BaseRepresentation
bin11101001000111010101…
…11101010011000000000
310112201022202022001100220
432210131113222120000
5112400444322401422
62043542033543040
7132223111422240
oct16443527523000
93481282261326
101001220122112
11356684725781
12142062714a80
1373550cb6ba2
14366604d3b20
151b09d928e5c
hexe91d5ea600

1001220122112 has 80 divisors (see below), whose sum is σ = 3048357725952. Its totient is φ = 286062888960.

The previous prime is 1001220122107. The next prime is 1001220122159. The reversal of 1001220122112 is 2112210221001.

It is a junction number, because it is equal to n+sod(n) for n = 1001220122091 and 1001220122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46548964 + ... + 46570467.

Almost surely, 21001220122112 is an apocalyptic number.

1001220122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001220122112 is an abundant number, since it is smaller than the sum of its proper divisors (2047137603840).

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

1001220122112 is an frugal number, since it uses more digits than its factorization.

1001220122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93119459 (or 93119443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001220122112 its reverse (2112210221001), we get a palindrome (3113430343113).

The spelling of 1001220122112 in words is "one trillion, one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 93119431 186238862 279358293 372477724 558716586 651836017 744955448 1117433172 1303672034 1489910896 1955508051 2234866344 2607344068 2979821792 3911016102 4469732688 5214688136 5959643584 7822032204 8939465376 10429376272 11919287168 15644064408 17878930752 20858752544 23838574336 31288128816 35757861504 41717505088 47677148672 62576257632 71515723008 83435010176 125152515264 143031446016 166870020352 250305030528 333740040704 500610061056 1001220122112