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122231121233 = 1319736778943
BaseRepresentation
bin111000111010110001…
…0101110010101010001
3102200111111102022110012
41301311202232111101
54000312131334413
6132052513044305
711555000250014
oct1616542562521
9380444368405
10122231121233
1147924310571
121b832b56695
13b6ac4c4150
145cb77a537b
1532a5cbd7a8
hex1c758ae551

122231121233 has 16 divisors (see below), whose sum is σ = 140459719680. Its totient is φ = 105426105984.

The previous prime is 122231121227. The next prime is 122231121277. The reversal of 122231121233 is 332121132221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122231121233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122231121199 and 122231121208.

It is not an unprimeable number, because it can be changed into a prime (122231121223) 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 15 ways as a sum of consecutive naturals, for example, 3371441 + ... + 3407502.

It is an arithmetic number, because the mean of its divisors is an integer number (8778732480).

Almost surely, 2122231121233 is an apocalyptic number.

122231121233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122231121233 is a deficient number, since it is larger than the sum of its proper divisors (18228598447).

122231121233 is a wasteful number, since it uses less digits than its factorization.

122231121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779048.

The product of its digits is 864, while the sum is 23.

Adding to 122231121233 its reverse (332121132221), we get a palindrome (454352253454).

The spelling of 122231121233 in words is "one hundred twenty-two billion, two hundred thirty-one million, one hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 13 19 73 247 949 1387 18031 6778943 88126259 128799917 494862839 1674398921 6433216907 9402393941 122231121233