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121312346036 = 227218133110331
BaseRepresentation
bin111000011111011000…
…1110111111110110100
3102121010110120200211012
41300332301313332310
53441421430033121
6131421412331352
711523142633100
oct1607661677664
9377113520735
10121312346036
11474a2725122
121b617313b58
13b59405599b
145c2b75c900
1532502d3c5b
hex1c3ec77fb4

121312346036 has 72 divisors (see below), whose sum is σ = 249096006432. Its totient is φ = 51542568000.

The previous prime is 121312346011. The next prime is 121312346041. The reversal of 121312346036 is 630643213121.

It is a junction number, because it is equal to n+sod(n) for n = 121312345993 and 121312346011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11737391 + ... + 11747721.

It is an arithmetic number, because the mean of its divisors is an integer number (3459666756).

Almost surely, 2121312346036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121312346036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124548003216).

121312346036 is an abundant number, since it is smaller than the sum of its proper divisors (127783660396).

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

121312346036 is a wasteful number, since it uses less digits than its factorization.

121312346036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10861 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 121312346036 its reverse (630643213121), we get a palindrome (751955559157).

The spelling of 121312346036 in words is "one hundred twenty-one billion, three hundred twelve million, three hundred forty-six thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 181 196 331 362 662 724 1267 1324 2317 2534 4634 5068 8869 9268 10331 16219 17738 20662 32438 35476 41324 59911 64876 72317 119822 144634 239644 289268 419377 506219 838754 1012438 1677508 1869911 2024876 2935639 3419561 3739822 5871278 6839122 7479644 11742556 13089377 13678244 23936927 26178754 47873854 52357508 91625639 95747708 167558489 183251278 335116978 366502556 618940541 670233956 1237881082 2475762164 4332583787 8665167574 17330335148 30328086509 60656173018 121312346036