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121122011221000 = 2353121122011221
BaseRepresentation
bin11011100010100011101010…
…011101000000110000001000
3120212212011002012211200110121
4123202203222131000300020
5111333430334333033000
61105334403411153024
734340530231203526
oct3342435235006010
9525764065750417
10121122011221000
1135658613765339
12117023105a5774
1352779ab48546a
1421ca49d999316
15e009dc6eeb1a
hex6e28ea740c08

121122011221000 has 32 divisors (see below), whose sum is σ = 283425506259480. Its totient is φ = 48448804488000.

The previous prime is 121122011220967. The next prime is 121122011221037. The reversal of 121122011221000 is 122110221121.

It can be written as a sum of positive squares in 4 ways, for example, as 45629997980004 + 75492013240996 = 6754998^2 + 8688614^2 .

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 7 ways as a sum of consecutive naturals, for example, 60561004611 + ... + 60561006610.

Almost surely, 2121122011221000 is an apocalyptic number.

121122011221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122011221000 is an abundant number, since it is smaller than the sum of its proper divisors (162303495038480).

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

121122011221000 is a wasteful number, since it uses less digits than its factorization.

121122011221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121122011242 (or 121122011228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121122011221000 its reverse (122110221121), we get a palindrome (121244121442121).

The spelling of 121122011221000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, eleven million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 121122011221 242244022442 484488044884 605610056105 968976089768 1211220112210 2422440224420 3028050280525 4844880448840 6056100561050 12112201122100 15140251402625 24224402244200 30280502805250 60561005610500 121122011221000