Search a number
-
+
121032011110120 = 235112231233510101
BaseRepresentation
bin11011100001001111110110…
…000001110101011011101000
3120212112112202221202100020121
4123201033312001311123220
5111330442024321010440
61105225201024333024
734331163030655645
oct3341176601653350
9525475687670217
10121032011110120
1135623429a78a10
12116a8993774174
13526c367624896
1421c5da2a6cdcc
15ded4c135034a
hex6e13f60756e8

121032011110120 has 64 divisors (see below), whose sum is σ = 298410763875840. Its totient is φ = 43814278752000.

The previous prime is 121032011110103. The next prime is 121032011110247. The reversal of 121032011110120 is 21011110230121.

It is a happy number.

It is a super-2 number, since 2×1210320111101202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121032011110094 and 121032011110103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616656931 + ... + 616853170.

It is an arithmetic number, because the mean of its divisors is an integer number (4662668185560).

Almost surely, 2121032011110120 is an apocalyptic number.

121032011110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121032011110120 is an abundant number, since it is smaller than the sum of its proper divisors (177378752765720).

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

121032011110120 is a wasteful number, since it uses less digits than its factorization.

121032011110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233510346 (or 1233510342 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 121032011110120 its reverse (21011110230121), we get a palindrome (142043121340241).

The spelling of 121032011110120 in words is "one hundred twenty-one trillion, thirty-two billion, eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 223 440 446 892 1115 1784 2230 2453 4460 4906 8920 9812 12265 19624 24530 49060 98120 1233510101 2467020202 4934040404 6167550505 9868080808 12335101010 13568611111 24670202020 27137222222 49340404040 54274444444 67843055555 108548888888 135686111110 271372222220 275072752523 542744444440 550145505046 1100291010092 1375363762615 2200582020184 2750727525230 3025800277753 5501455050460 6051600555506 11002910100920 12103201111012 15129001388765 24206402222024 30258002777530 60516005555060 121032011110120