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12121412094 = 23211711794817
BaseRepresentation
bin10110100100111111…
…00001000111111110
31011021202120112102200
423102133201013332
5144311040141334
65322443532330
7606244205601
oct132237410776
934252515380
1012121412094
115160248350
12242352a0a6
1311b23643bc
1482dbc4338
154ae254799
hex2d27e11fe

12121412094 has 96 divisors (see below), whose sum is σ = 29222519040. Its totient is φ = 3600441600.

The previous prime is 12121412087. The next prime is 12121412099. The reversal of 12121412094 is 49021412121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121412099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2513974 + ... + 2518790.

It is an arithmetic number, because the mean of its divisors is an integer number (304401240).

Almost surely, 212121412094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121412094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14611259520).

12121412094 is an abundant number, since it is smaller than the sum of its proper divisors (17101106946).

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

12121412094 is a wasteful number, since it uses less digits than its factorization.

12121412094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5083 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 12121412094 its sum of digits (27), we get a palindrome (12121412121).

The spelling of 12121412094 in words is "twelve billion, one hundred twenty-one million, four hundred twelve thousand, ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 179 198 213 358 426 537 639 781 1074 1278 1562 1611 1969 2343 3222 3938 4686 4817 5907 7029 9634 11814 12709 14058 14451 17721 25418 28902 35442 38127 43353 52987 76254 86706 105974 114381 139799 158961 228762 279598 317922 342007 419397 476883 684014 838794 862243 953766 1026021 1258191 1724486 2052042 2516382 2586729 3078063 3762077 5173458 6156126 7524154 7760187 9484673 11286231 15520374 18969346 22572462 28454019 33858693 56908038 61219253 67717386 85362057 122438506 170724114 183657759 367315518 550973277 673411783 1101946554 1346823566 2020235349 4040470698 6060706047 12121412094