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121698239328 = 25329717924337
BaseRepresentation
bin111000101010111000…
…1111100001101100000
3102122010100201002220100
41301111301330031200
53443214222124303
6131523555342400
711535536652321
oct1612561741540
9378110632810
10121698239328
11476805354a6
121b7045b1a00
13b625c98403
145c66ad0448
15327410c8a3
hex1c55c7c360

121698239328 has 144 divisors (see below), whose sum is σ = 351614980080. Its totient is φ = 39921942528.

The previous prime is 121698239323. The next prime is 121698239389. The reversal of 121698239328 is 823932896121.

121698239328 is a `hidden beast` number, since 1 + 21 + 69 + 8 + 239 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1216982393282 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121698239323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4988376 + ... + 5012712.

It is an arithmetic number, because the mean of its divisors is an integer number (2441770695).

Almost surely, 2121698239328 is an apocalyptic number.

121698239328 is a gapful number since it is divisible by the number (18) 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 121698239328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175807490040).

121698239328 is an abundant number, since it is smaller than the sum of its proper divisors (229916740752).

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

121698239328 is a wasteful number, since it uses less digits than its factorization.

121698239328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24629 (or 24618 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 121698239328 in words is "one hundred twenty-one billion, six hundred ninety-eight million, two hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 179 194 288 291 358 388 537 582 716 776 873 1074 1164 1432 1552 1611 1746 2148 2328 2864 3104 3222 3492 4296 4656 5728 6444 6984 8592 9312 12888 13968 17184 17363 24337 25776 27936 34726 48674 51552 52089 69452 73011 97348 104178 138904 146022 156267 194696 208356 219033 277808 292044 312534 389392 416712 438066 555616 584088 625068 778784 833424 876132 1168176 1250136 1666848 1752264 2336352 2360689 2500272 3504528 4356323 4721378 5000544 7009056 7082067 8712646 9442756 13068969 14164134 17425292 18885512 21246201 26137938 28328268 34850584 37771024 39206907 42492402 52275876 56656536 69701168 75542048 78413814 84984804 104551752 113313072 139402336 156827628 169969608 209103504 226626144 313655256 339939216 418207008 422563331 627310512 679878432 845126662 1254621024 1267689993 1690253324 2535379986 3380506648 3803069979 5070759972 6761013296 7606139958 10141519944 13522026592 15212279916 20283039888 30424559832 40566079776 60849119664 121698239328