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1200012200010 = 2325137091446617
BaseRepresentation
bin10001011101100110010…
…011010000100001001010
311020201102220122221020200
4101131212103100201022
5124130111110400020
62315140014033030
7152461264254411
oct21354623204112
94221386587220
101200012200010
11422a1666a148
121746a17a8776
1389211c99a50
144211bdc2478
1521335cea590
hex117664d084a

1200012200010 has 96 divisors (see below), whose sum is σ = 3364775603280. Its totient is φ = 294970788864.

The previous prime is 1200012199999. The next prime is 1200012200027. The reversal of 1200012200010 is 100022100021.

It can be written as a sum of positive squares in 8 ways, for example, as 35665455609 + 1164346744401 = 188853^2 + 1079049^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200012199965 and 1200012200001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106222 + ... + 1552838.

Almost surely, 21200012200010 is an apocalyptic number.

1200012200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200012200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682387801640).

1200012200010 is an abundant number, since it is smaller than the sum of its proper divisors (2164763403270).

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

1200012200010 is a wasteful number, since it uses less digits than its factorization.

1200012200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447352 (or 1447349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1200012200010 its reverse (100022100021), we get a palindrome (1300034300031).

The spelling of 1200012200010 in words is "one trillion, two hundred billion, twelve million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 709 1170 1418 2127 3545 4254 6381 7090 9217 10635 12762 18434 21270 27651 31905 46085 55302 63810 82953 92170 138255 165906 276510 414765 829530 1446617 2893234 4339851 7233085 8679702 13019553 14466170 18806021 21699255 26039106 37612042 43398510 56418063 65097765 94030105 112836126 130195530 169254189 188060210 282090315 338508378 564180630 846270945 1025651453 1692541890 2051302906 3076954359 5128257265 6153908718 9230863077 10256514530 13333468889 15384771795 18461726154 26666937778 30769543590 40000406667 46154315385 66667344445 80000813334 92308630770 120001220001 133334688890 200002033335 240002440002 400004066670 600006100005 1200012200010