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121220111111121 = 321123415324499201
BaseRepresentation
bin11011100011111111000001…
…101010011001001111010001
3120220012112021222002102222100
4123203333001222121033101
5111342032241421023441
61105451430020231013
734350602233414221
oct3343770152311721
9526175258072870
10121220111111121
113569618457a7a0
1211719329b3b469
135284013423319
1421d1128524081
15e0332ec08cb6
hex6e3fc1a993d1

121220111111121 has 96 divisors (see below), whose sum is σ = 208032327869184. Its totient is φ = 67265003520000.

The previous prime is 121220111111101. The next prime is 121220111111149. The reversal of 121220111111121 is 121111111022121.

It is not a de Polignac number, because 121220111111121 - 210 = 121220111110097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121220111111094 and 121220111111103.

It is not an unprimeable number, because it can be changed into a prime (121220111111101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7301680 + ... + 17197521.

It is an arithmetic number, because the mean of its divisors is an integer number (2167003415304).

Almost surely, 2121220111111121 is an apocalyptic number.

121220111111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121220111111121 is a deficient number, since it is larger than the sum of its proper divisors (86812216758063).

121220111111121 is a wasteful number, since it uses less digits than its factorization.

121220111111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24499335 (or 24499332 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121220111111121 its reverse (121111111022121), we get a palindrome (242331222133242).

The spelling of 121220111111121 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 11 23 33 41 53 69 99 123 159 207 253 369 451 477 583 759 943 1219 1353 1749 2173 2277 2829 3657 4059 5247 6519 8487 10373 10971 13409 19557 23903 31119 40227 49979 71709 93357 120681 149937 215127 449811 549769 1649307 4947921 24499201 73497603 220492809 269491211 563481623 808473633 1004467241 1298457653 1690444869 2425420899 3013401723 3895372959 5071334607 6198297853 9040205169 11049139651 11686118877 14283034183 18594893559 23102746543 29864526019 33147418953 42849102549 53236763773 55784680677 69308239629 89593578057 99442256859 128547307647 159710291319 207924718887 254130211973 268780734171 328509786209 479130873957 585604401503 762390635919 985529358627 1224445566779 1756813204509 2287171907757 2956588075881 3673336700337 5270439613527 11020010101011 13468901234569 40406703703707 121220111111121