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122000120011 = 7111801879743
BaseRepresentation
bin111000110011111000…
…1100001100011001011
3102122220101202020100101
41301213301201203023
53444324012320021
6132013541550231
711546163624040
oct1614761414313
9378811666311
10122000120011
1147815983970
121b789715377
13b6736a4233
145c94c331c7
15329088da91
hex1c67c618cb

122000120011 has 16 divisors (see below), whose sum is σ = 152188674048. Its totient is φ = 95012136000.

The previous prime is 122000119963. The next prime is 122000120041. The reversal of 122000120011 is 110021000221.

It is a cyclic number.

It is not a de Polignac number, because 122000120011 - 27 = 122000119883 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122000120011.

It is not an unprimeable number, because it can be changed into a prime (122000120041) 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 15 ways as a sum of consecutive naturals, for example, 301195 + ... + 578548.

It is an arithmetic number, because the mean of its divisors is an integer number (9511792128).

Almost surely, 2122000120011 is an apocalyptic number.

122000120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122000120011 is a deficient number, since it is larger than the sum of its proper divisors (30188554037).

122000120011 is a wasteful number, since it uses less digits than its factorization.

122000120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881562.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122000120011 its reverse (110021000221), we get a palindrome (232021120232).

The spelling of 122000120011 in words is "one hundred twenty-two billion, one hundred twenty thousand, eleven".

Divisors: 1 7 11 77 1801 12607 19811 138677 879743 6158201 9677173 67740211 1584417143 11090920001 17428588573 122000120011