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121004412102 = 23272973314273
BaseRepresentation
bin111000010110001101…
…1001100110011000110
3102120100000011000212200
41300230123030303012
53440304112141402
6131331052255330
711512413350400
oct1605433146306
9376300130780
10121004412102
1147354921872
121b550171546
13b54530a862
145bdc8c1b70
15323325921c
hex1c2c6cccc6

121004412102 has 144 divisors (see below), whose sum is σ = 309127854672. Its totient is φ = 34104913920.

The previous prime is 121004412097. The next prime is 121004412103. The reversal of 121004412102 is 201214400121.

121004412102 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 441 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121004412103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28316238 + ... + 28320510.

It is an arithmetic number, because the mean of its divisors is an integer number (2146721213).

Almost surely, 2121004412102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121004412102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154563927336).

121004412102 is an abundant number, since it is smaller than the sum of its proper divisors (188123442570).

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

121004412102 is a wasteful number, since it uses less digits than its factorization.

121004412102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121004412102 its reverse (201214400121), we get a palindrome (322218812223).

The spelling of 121004412102 in words is "one hundred twenty-one billion, four million, four hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 97 98 126 147 194 291 294 331 441 582 662 679 873 882 993 1358 1746 1986 2037 2317 2979 4074 4273 4634 4753 5958 6111 6951 8546 9506 12222 12819 13902 14259 16219 20853 25638 28518 29911 32107 32438 38457 41706 42777 48657 59822 64214 76914 85554 89733 96321 97314 145971 179466 192642 209377 224749 269199 288963 291942 414481 418754 449498 538398 577926 628131 674247 828962 1243443 1256262 1348494 1414363 1573243 1884393 2022741 2486886 2828726 2901367 3146486 3730329 3768786 4045482 4243089 4719729 5802734 7460658 8486178 8704101 9439458 9900541 12729267 14159187 17408202 19801082 20309569 25458534 26112303 28318374 29701623 40619138 52224606 59403246 60928707 69303787 89104869 121857414 137193211 138607574 178209738 182786121 207911361 274386422 365572242 411579633 415822722 623734083 823159266 960352477 1234738899 1247468166 1920704954 2469477798 2881057431 5762114862 6722467339 8643172293 13444934678 17286344586 20167402017 40334804034 60502206051 121004412102