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121021011221120 = 275189095330033
BaseRepresentation
bin11011100001000101100110…
…011000100101101010000000
3120212111111101100112002021022
4123201011212120211222000
5111330302012333033440
61105220141322445012
734330323322314503
oct3341054630455200
9525444340462238
10121021011221120
11356197a490655a
12116a6823963768
13526b30373891a
1421c563bbcb13a
15ded07a7d3cb5
hex6e1166625a80

121021011221120 has 32 divisors (see below), whose sum is σ = 289315854952020. Its totient is φ = 48408404488192.

The previous prime is 121021011221111. The next prime is 121021011221161. The reversal of 121021011221120 is 21122110120121.

It can be written as a sum of positive squares in 2 ways, for example, as 117273132049984 + 3747879171136 = 10829272^2 + 1935944^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94547664377 + ... + 94547665656.

Almost surely, 2121021011221120 is an apocalyptic number.

121021011221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121021011221120 is an abundant number, since it is smaller than the sum of its proper divisors (168294843730900).

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

121021011221120 is an equidigital number, since it uses as much as digits as its factorization.

121021011221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189095330052 (or 189095330040 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121021011221120 its reverse (21122110120121), we get a palindrome (142143121341241).

The spelling of 121021011221120 in words is "one hundred twenty-one trillion, twenty-one billion, eleven million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 189095330033 378190660066 756381320132 945476650165 1512762640264 1890953300330 3025525280528 3781906600660 6051050561056 7563813201320 12102101122112 15127626402640 24204202244224 30255252805280 60510505610560 121021011221120