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1001122012020 = 2235131283489759
BaseRepresentation
bin11101001000101111000…
…01011001101101110100
310112201001220200112121210
432210113201121231310
5112400244213341040
62043524211041420
7132220510461054
oct16442741315564
93481056615553
101001122012020
11356634305159
121420358a0270
1373536885690
1436651475564
151b094ee9480
hexe917859b74

1001122012020 has 48 divisors (see below), whose sum is σ = 3018767915520. Its totient is φ = 246430033536.

The previous prime is 1001122012019. The next prime is 1001122012067. The reversal of 1001122012020 is 202102211001.

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 = 1001122011987 and 1001122012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641744100 + ... + 641745659.

It is an arithmetic number, because the mean of its divisors is an integer number (62890998240).

Almost surely, 21001122012020 is an apocalyptic number.

1001122012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001122012020 is an abundant number, since it is smaller than the sum of its proper divisors (2017645903500).

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

1001122012020 is a wasteful number, since it uses less digits than its factorization.

1001122012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283489784 (or 1283489782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001122012020 its reverse (202102211001), we get a palindrome (1203224223021).

The spelling of 1001122012020 in words is "one trillion, one billion, one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1283489759 2566979518 3850469277 5133959036 6417448795 7700938554 12834897590 15401877108 16685366867 19252346385 25669795180 33370733734 38504692770 50056100601 66741467468 77009385540 83426834335 100112201202 166853668670 200224402404 250280503005 333707337340 500561006010 1001122012020