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23121422412 = 223112941147319
BaseRepresentation
bin10101100010001001…
…001110100001001100
32012200101000221211020
4111202021032201030
5334323041004122
614342152154140
71445653563534
oct254211164114
965611027736
1023121422412
119895492970
124593398950
13224629364a
141194a984c4
15904ce6c5c
hex56224e84c

23121422412 has 96 divisors (see below), whose sum is σ = 62369395200. Its totient is φ = 6599846400.

The previous prime is 23121422393. The next prime is 23121422413. The reversal of 23121422412 is 21422412132.

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

It is not an unprimeable number, because it can be changed into a prime (23121422413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83289 + ... + 230607.

It is an arithmetic number, because the mean of its divisors is an integer number (649681200).

Almost surely, 223121422412 is an apocalyptic number.

23121422412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23121422412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31184697600).

23121422412 is an abundant number, since it is smaller than the sum of its proper divisors (39247972788).

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

23121422412 is a wasteful number, since it uses less digits than its factorization.

23121422412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147407 (or 147405 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 23121422412 its reverse (21422412132), we get a palindrome (44543834544).

The spelling of 23121422412 in words is "twenty-three billion, one hundred twenty-one million, four hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 41 44 58 66 82 87 116 123 132 164 174 246 319 348 451 492 638 902 957 1189 1276 1353 1804 1914 2378 2706 3567 3828 4756 5412 7134 13079 14268 26158 39237 52316 78474 147319 156948 294638 441957 589276 883914 1620509 1767828 3241018 4272251 4861527 6040079 6482036 8544502 9723054 12080158 12816753 17089004 18120237 19446108 24160316 25633506 36240474 46994761 51267012 66440869 72480948 93989522 132881738 140984283 175162291 187979044 199322607 265763476 281968566 350324582 398645214 525486873 563937132 700649164 797290428 1050973746 1926785201 2101947492 3853570402 5780355603 7707140804 11560711206 23121422412