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120021210012 = 2231110125213571
BaseRepresentation
bin110111111000111010…
…0100101001110011100
3102110210111002012011110
41233301310211032130
53431300412210022
6131045331022020
711446144311114
oct1576164451634
9373714065143
10120021210012
114699a931560
121b316a3a910
13b419702482
145b480a8044
1531c6c9500c
hex1bf1d2539c

120021210012 has 96 divisors (see below), whose sum is σ = 308742190848. Its totient is φ = 35985600000.

The previous prime is 120021210007. The next prime is 120021210061. The reversal of 120021210012 is 210012120021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 120021210012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33608187 + ... + 33611757.

It is an arithmetic number, because the mean of its divisors is an integer number (3216064488).

Almost surely, 2120021210012 is an apocalyptic number.

120021210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120021210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154371095424).

120021210012 is an abundant number, since it is smaller than the sum of its proper divisors (188720980836).

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

120021210012 is a wasteful number, since it uses less digits than its factorization.

120021210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120021210012 its reverse (210012120021), we get a palindrome (330033330033).

It can be divided in two parts, 120021 and 210012, that multiplied together give a palindrome (25205850252).

The spelling of 120021210012 in words is "one hundred twenty billion, twenty-one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 2521 3333 3571 4444 5042 6666 7142 7563 10084 10713 13332 14284 15126 21426 27731 30252 39281 42852 55462 78562 83193 110924 117843 157124 166386 235686 254621 332772 360671 471372 509242 721342 763863 1018484 1082013 1442684 1527726 2164026 2800831 3055452 3967381 4328052 5601662 7934762 8402493 9002491 11203324 11902143 15869524 16804986 18004982 23804286 27007473 33609972 36009964 47608572 54014946 99027401 108029892 198054802 297082203 396109604 594164406 909251591 1188328812 1818503182 2727754773 3637006364 5455509546 10001767501 10911019092 20003535002 30005302503 40007070004 60010605006 120021210012