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122009221921 = 2941671531567
BaseRepresentation
bin111000110100001010…
…0001111101100100001
3102122221000212122211011
41301220110033230201
53444333330100141
6132014505020521
711546334163156
oct1615024175441
9378830778734
10122009221921
1147820030304
121b790784741
13b675540092
145c9612222d
15329158a881
hex1c6850fb21

122009221921 has 16 divisors (see below), whose sum is σ = 131224746240. Its totient is φ = 113213358720.

The previous prime is 122009221903. The next prime is 122009221931. The reversal of 122009221921 is 129122900221.

It is a cyclic number.

It is not a de Polignac number, because 122009221921 - 29 = 122009221409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122009221931) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 686121 + ... + 845446.

It is an arithmetic number, because the mean of its divisors is an integer number (8201546640).

Almost surely, 2122009221921 is an apocalyptic number.

It is an amenable number.

122009221921 is a deficient number, since it is larger than the sum of its proper divisors (9215524319).

122009221921 is a wasteful number, since it uses less digits than its factorization.

122009221921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531704.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 122009221921 in words is "one hundred twenty-two billion, nine million, two hundred twenty-one thousand, nine hundred twenty-one".

Divisors: 1 29 41 67 1189 1943 2747 79663 1531567 44415443 62794247 102614989 1821033163 2975834681 4207214549 122009221921