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121302113011112 = 2311101727109117207
BaseRepresentation
bin11011100101001011011001…
…010110110100010110101000
3120220111100221211010120111102
4123211023121112310112220
5111344403211412323422
61105553231005420532
734356534304153025
oct3345133126642650
9526440854116442
10121302113011112
1135717a34500980
12117311b426a748
13528b981219237
1421d50a70d054c
15e0552dd13192
hex6e52d95b45a8

121302113011112 has 128 divisors (see below), whose sum is σ = 251163827066880. Its totient is φ = 54463184160000.

The previous prime is 121302113011103. The next prime is 121302113011117. The reversal of 121302113011112 is 211110311203121.

It is not an unprimeable number, because it can be changed into a prime (121302113011117) 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, 7049570813 + ... + 7049588019.

It is an arithmetic number, because the mean of its divisors is an integer number (1962217398960).

Almost surely, 2121302113011112 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 121302113011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125581913533440).

121302113011112 is an abundant number, since it is smaller than the sum of its proper divisors (129861714055768).

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

121302113011112 is a wasteful number, since it uses less digits than its factorization.

121302113011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19143 (or 19139 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 121302113011112 its reverse (211110311203121), we get a palindrome (332412424214233).

The spelling of 121302113011112 in words is "one hundred twenty-one trillion, three hundred two billion, one hundred thirteen million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 727 808 1091 1111 1454 2182 2222 2908 4364 4444 5816 7997 8728 8888 12001 15994 17207 24002 31988 34414 48004 63976 68828 73427 96008 110191 137656 146854 189277 220382 293708 378554 440764 587416 757108 793157 807697 881528 1212101 1514216 1586314 1615394 1737907 2424202 3172628 3230788 3475814 4848404 6345256 6461576 6951628 8724727 9696808 12509489 13903256 17449454 18772837 19116977 25018978 34898908 37545674 38233954 50037956 69797816 75091348 76467908 80108857 100075912 137604379 150182696 152935816 160217714 206501207 275208758 320435428 413002414 550417516 640870856 826004828 881197427 1100835032 1263458389 1652009656 1762394854 1896056537 2526916778 3524789708 3792113074 5053833556 7049579416 7584226148 10107667112 13647852499 13898042279 15168452296 20856621907 27295704998 27796084558 41713243814 54591409996 55592169116 83426487628 109182819992 111184338232 150126377489 166852975256 300252754978 600505509956 1201011019912 1378433102399 2756866204798 5513732409596 11027464819192 15162764126389 30325528252778 60651056505556 121302113011112