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12244020120 = 23325181187907
BaseRepresentation
bin10110110011100110…
…01110101110011000
31011121022021200000200
423121303032232120
5200033432120440
65342543502200
7612263311443
oct133163165630
934538250020
1012244020120
1152134805a2
1224585b7960
131201892427
148421bc65a
154b9dc2c30
hex2d9cceb98

12244020120 has 96 divisors (see below), whose sum is σ = 40013129520. Its totient is φ = 3247015680.

The previous prime is 12244020049. The next prime is 12244020127. The reversal of 12244020120 is 2102044221.

12244020120 is a `hidden beast` number, since 1 + 2 + 2 + 440 + 201 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12244020093 and 12244020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244020127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28794 + ... + 159113.

Almost surely, 212244020120 is an apocalyptic number.

12244020120 is a gapful number since it is divisible by the number (10) 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 12244020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006564760).

12244020120 is an abundant number, since it is smaller than the sum of its proper divisors (27769109400).

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

12244020120 is a wasteful number, since it uses less digits than its factorization.

12244020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188105 (or 188098 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12244020120 its reverse (2102044221), we get a palindrome (14346064341).

The spelling of 12244020120 in words is "twelve billion, two hundred forty-four million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 181 360 362 543 724 905 1086 1448 1629 1810 2172 2715 3258 3620 4344 5430 6516 7240 8145 10860 13032 16290 21720 32580 65160 187907 375814 563721 751628 939535 1127442 1503256 1691163 1879070 2254884 2818605 3382326 3758140 4509768 5637210 6764652 7516280 8455815 11274420 13529304 16911630 22548840 33823260 34011167 67646520 68022334 102033501 136044668 170055835 204067002 272089336 306100503 340111670 408134004 510167505 612201006 680223340 816268008 1020335010 1224402012 1360446680 1530502515 2040670020 2448804024 3061005030 4081340040 6122010060 12244020120