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12233123322 = 237256973127
BaseRepresentation
bin10110110010010011…
…01010010111111010
31011120112210001102120
423121021222113322
5200023134421242
65341514142110
7612101555400
oct133111522772
934515701376
1012233123322
115208308682
122454a21936
1311cc548614
14840983470
154b8e6e1ec
hex2d926a5fa

12233123322 has 48 divisors (see below), whose sum is σ = 28511144640. Its totient is φ = 3488987712.

The previous prime is 12233123317. The next prime is 12233123339. The reversal of 12233123322 is 22332133221.

It is a super-2 number, since 2×122331233222 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12233123292 and 12233123301.

It is an unprimeable number.

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, 130723 + ... + 203849.

It is an arithmetic number, because the mean of its divisors is an integer number (593982180).

Almost surely, 212233123322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233123322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255572320).

12233123322 is an abundant number, since it is smaller than the sum of its proper divisors (16278021318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12233123322 is a wasteful number, since it uses less digits than its factorization.

12233123322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73715 (or 73708 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 12233123322 its reverse (22332133221), we get a palindrome (34565256543).

It can be divided in two parts, 122331 and 23322, that multiplied together give a palindrome (2853003582).

The spelling of 12233123322 in words is "twelve billion, two hundred thirty-three million, one hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 569 1138 1707 3414 3983 7966 11949 23898 27881 55762 73127 83643 146254 167286 219381 438762 511889 1023778 1535667 3071334 3583223 7166446 10749669 21499338 41609263 83218526 124827789 249655578 291264841 582529682 873794523 1747589046 2038853887 4077707774 6116561661 12233123322