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122220011111009 = 725975755846807
BaseRepresentation
bin11011110010100010010000…
…010110001100001001100001
3121000202010012201100100002112
4123302202100112030021201
5112004423040321023014
61111535033055325105
734513050545240600
oct3362422026141141
9530663181310075
10122220011111009
1135a41241004069
121185b082520795
1353273b3a782a6
1422276a1579a37
15e1e3527ba73e
hex6f289058c261

122220011111009 has 24 divisors (see below), whose sum is σ = 144775031186880. Its totient is φ = 102848371478496.

The previous prime is 122220011110999. The next prime is 122220011111063. The reversal of 122220011111009 is 900111110022221.

It is a happy number.

It is not a de Polignac number, because 122220011111009 - 28 = 122220011110753 is a prime.

It is a super-2 number, since 2×1222200111110092 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122220011111089) 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 23 ways as a sum of consecutive naturals, for example, 25734917 + ... + 30111890.

It is an arithmetic number, because the mean of its divisors is an integer number (6032292966120).

Almost surely, 2122220011111009 is an apocalyptic number.

It is an amenable number.

122220011111009 is a deficient number, since it is larger than the sum of its proper divisors (22555020075871).

122220011111009 is an equidigital number, since it uses as much as digits as its factorization.

122220011111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55847637 (or 55847630 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 122220011111009 in words is "one hundred twenty-two trillion, two hundred twenty billion, eleven million, one hundred eleven thousand, nine".

Divisors: 1 7 49 59 413 757 2891 5299 37093 44663 312641 2188487 55846807 390927649 2736493543 3294961613 23064731291 42276032899 161453119037 295932230293 2071525612051 2494285941041 17460001587287 122220011111009