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122112122103 = 353116210291
BaseRepresentation
bin111000110111001110…
…0110001110011110111
3102200012012111112100000
41301232130301303313
54000041200401403
6132033022322343
711552023624536
oct1615634616367
9380165445300
10122112122103
1147873122784
121b7bb1293b3
13b69095a96a
145ca5a6a31d
15329a6147a3
hex1c6e731cf7

122112122103 has 24 divisors (see below), whose sum is σ = 188817481216. Its totient is φ = 78782009400.

The previous prime is 122112122089. The next prime is 122112122117. The reversal of 122112122103 is 301221211221.

It is an interprime number because it is at equal distance from previous prime (122112122089) and next prime (122112122117).

It is not a de Polignac number, because 122112122103 - 29 = 122112121591 is a prime.

It is a super-2 number, since 2×1221121221032 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112172103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8097613 + ... + 8112678.

Almost surely, 2122112122103 is an apocalyptic number.

122112122103 is a deficient number, since it is larger than the sum of its proper divisors (66705359113).

122112122103 is an equidigital number, since it uses as much as digits as its factorization.

122112122103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16210337 (or 16210325 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122112122103 its reverse (301221211221), we get a palindrome (423333333324).

The spelling of 122112122103 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred three".

Divisors: 1 3 9 27 31 81 93 243 279 837 2511 7533 16210291 48630873 145892619 437677857 502519021 1313033571 1507557063 3939100713 4522671189 13568013567 40704040701 122112122103