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12120121000 = 235313932317
BaseRepresentation
bin10110100100110101…
…00101111010101000
31011021200010221101101
423102122211322220
5144310222333000
65322400131144
7606230220511
oct132232457250
934250127341
1012120121000
11515a546329
122423006ab4
1311b2001840
1482d969a08
154ae09be6a
hex2d26a5ea8

12120121000 has 64 divisors (see below), whose sum is σ = 30542737680. Its totient is φ = 4475116800.

The previous prime is 12120120983. The next prime is 12120121121. The reversal of 12120121000 is 12102121.

12120121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 589227076 + 11530893924 = 24274^2 + 107382^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453159 + ... + 479158.

Almost surely, 212120121000 is an apocalyptic number.

12120121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120121000 is an abundant number, since it is smaller than the sum of its proper divisors (18422616680).

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

12120121000 is a wasteful number, since it uses less digits than its factorization.

12120121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932351 (or 932337 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12120121000 its reverse (12102121), we get a palindrome (12132223121).

The spelling of 12120121000 in words is "twelve billion, one hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 932317 1864634 3729268 4661585 7458536 9323170 12120121 18646340 23307925 24240242 37292680 46615850 48480484 60600605 93231700 96960968 116539625 121201210 186463400 233079250 242402420 303003025 466158500 484804840 606006050 932317000 1212012100 1515015125 2424024200 3030030250 6060060500 12120121000