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1012221120009 = 3111391731275559
BaseRepresentation
bin11101011101011010001…
…01001000111000001001
310120202201102121122110110
432232231011020320021
5113041012101320014
62053001415304533
7133062532362351
oct16565505107011
93522642548413
101012221120009
1136030a485280
1214421297b149
13745b51a07b8
1436dc5583b61
151b4e4613d59
hexebad148e09

1012221120009 has 32 divisors (see below), whose sum is σ = 1491486796800. Its totient is φ = 605532893760.

The previous prime is 1012221119939. The next prime is 1012221120011. The reversal of 1012221120009 is 9000211222101.

It is a de Polignac number, because none of the positive numbers 2k-1012221120009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012221124009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 155772 + ... + 1431330.

It is an arithmetic number, because the mean of its divisors is an integer number (46608962400).

Almost surely, 21012221120009 is an apocalyptic number.

It is an amenable number.

1012221120009 is a deficient number, since it is larger than the sum of its proper divisors (479265676791).

1012221120009 is a wasteful number, since it uses less digits than its factorization.

1012221120009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275885.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 1012221120009 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred twenty thousand, nine".

Divisors: 1 3 11 33 139 173 417 519 1529 1903 4587 5709 24047 72141 264517 793551 1275559 3826677 14031149 42093447 177302701 220671707 531908103 662015121 1950329711 2427388777 5850989133 7282166331 30673367273 92020101819 337407040003 1012221120009