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122111211019 = 72131139136859
BaseRepresentation
bin111000110111001100…
…1010011011000001011
3102200012010210020120011
41301232121103120023
54000040432223034
6132032551012351
711552013111400
oct1615631233013
9380163706504
10122111211019
1147872660216
121b7ba96a0b7
13b6906cc065
145ca58b02a7
15329a4d4864
hex1c6e65360b

122111211019 has 24 divisors (see below), whose sum is σ = 144162849600. Its totient is φ = 103119765840.

The previous prime is 122111211007. The next prime is 122111211023. The reversal of 122111211019 is 910112111221.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-122111211019 is a prime.

It is a super-2 number, since 2×1221112110192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111211029) 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, 823812 + ... + 960670.

It is an arithmetic number, because the mean of its divisors is an integer number (6006785400).

Almost surely, 2122111211019 is an apocalyptic number.

122111211019 is a deficient number, since it is larger than the sum of its proper divisors (22051638581).

122111211019 is a wasteful number, since it uses less digits than its factorization.

122111211019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137143 (or 137136 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 122111211019 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred eleven thousand, nineteen".

Divisors: 1 7 49 131 139 917 973 6419 6811 18209 127463 136859 892241 958013 6706091 17928529 19023401 125499703 133163807 878497921 932146649 2492065531 17444458717 122111211019