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12120221001012 = 2232118291577351
BaseRepresentation
bin1011000001011111010101…
…1101111010010100110100
31120220200102001002201200120
42300113311131322110310
53042034203034013022
641435541435211540
72360441242450515
oct260276535722464
946820361081616
1012120221001012
11395317a866293
121438b915a6bb0
1369bc16605187
142dc89c412a0c
1516041c4ccd5c
hexb05f577a534

12120221001012 has 48 divisors (see below), whose sum is σ = 28418022925824. Its totient is φ = 4020434460000.

The previous prime is 12120221001001. The next prime is 12120221001023. The reversal of 12120221001012 is 21010012202121.

It is an interprime number because it is at equal distance from previous prime (12120221001001) and next prime (12120221001023).

It is a super-2 number, since 2×121202210010122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12120221000982 and 12120221001000.

It is a congruent number.

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, 20704137 + ... + 21281487.

It is an arithmetic number, because the mean of its divisors is an integer number (592042144288).

Almost surely, 212120221001012 is an apocalyptic number.

12120221001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120221001012 is an abundant number, since it is smaller than the sum of its proper divisors (16297801924812).

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

12120221001012 is a wasteful number, since it uses less digits than its factorization.

12120221001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585860 (or 585858 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12120221001012 its reverse (21010012202121), we get a palindrome (33130233203133).

The spelling of 12120221001012 in words is "twelve trillion, one hundred twenty billion, two hundred twenty-one million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 211 422 633 844 1266 2532 8291 16582 24873 33164 49746 99492 577351 1154702 1732053 1749401 2309404 3464106 3498802 5248203 6928212 6997604 10496406 20992812 121821061 243642122 365463183 487284244 730926366 1461852732 4786817141 9573634282 14360451423 19147268564 28720902846 57441805692 1010018416751 2020036833502 3030055250253 4040073667004 6060110500506 12120221001012