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122111112001 = 563292774101
BaseRepresentation
bin111000110111001100…
…0111011001101000001
3102200012010121012201211
41301232120323031001
54000040421041001
6132032544530121
711552012216614
oct1615630731501
9380163535654
10122111112001
11478725a288a
121b7ba920941
13b690695c78
145ca588617b
15329a4b5351
hex1c6e63b341

122111112001 has 8 divisors (see below), whose sum is σ = 122371449984. Its totient is φ = 121850929200.

The previous prime is 122111111987. The next prime is 122111112017. The reversal of 122111112001 is 100211111221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122111112001 - 27 = 122111111873 is a prime.

It is a super-2 number, since 2×1221111120012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122111110001) 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 7 ways as a sum of consecutive naturals, for example, 1610851 + ... + 1684951.

It is an arithmetic number, because the mean of its divisors is an integer number (15296431248).

Almost surely, 2122111112001 is an apocalyptic number.

It is an amenable number.

122111112001 is a deficient number, since it is larger than the sum of its proper divisors (260337983).

122111112001 is an equidigital number, since it uses as much as digits as its factorization.

122111112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77591.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122111112001 its reverse (100211111221), we get a palindrome (222322223222).

The spelling of 122111112001 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twelve thousand, one".

Divisors: 1 563 2927 74101 1647901 41718863 216893627 122111112001