Search a number
-
+
121022120110212 = 223215277220051421
BaseRepresentation
bin11011100001000110101000…
…011110101010100010000100
3120212111121020122002111010200
4123201012220132222202010
5111330311300222011322
61105220443334050500
734330362645602346
oct3341065036524204
9525447218074120
10121022120110212
113561a213842322
12116a6a931a9a30
13526b44c3ac609
1421c57051a1296
15ded0e2d238ac
hex6e11a87aa884

121022120110212 has 36 divisors (see below), whose sum is σ = 305937051903756. Its totient is φ = 40338065903040.

The previous prime is 121022120110207. The next prime is 121022120110247. The reversal of 121022120110212 is 212011021220121.

121022120110212 is a `hidden beast` number, since 1 + 21 + 0 + 221 + 201 + 10 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11654740521216 + 109367379588996 = 3413904^2 + 10457886^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109475739 + ... + 110575682.

It is an arithmetic number, because the mean of its divisors is an integer number (8498251441771).

Almost surely, 2121022120110212 is an apocalyptic number.

121022120110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121022120110212 is an abundant number, since it is smaller than the sum of its proper divisors (184914931793544).

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

121022120110212 is a wasteful number, since it uses less digits than its factorization.

121022120110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220066708 (or 220066703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121022120110212 its reverse (212011021220121), we get a palindrome (333033141330333).

The spelling of 121022120110212 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred twenty million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 15277 30554 45831 61108 91662 137493 183324 274986 549972 220051421 440102842 660154263 880205684 1320308526 1980462789 2640617052 3960925578 7921851156 3361725558617 6723451117234 10085176675851 13446902234468 20170353351702 30255530027553 40340706703404 60511060055106 121022120110212