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12200225040 = 2432536746171
BaseRepresentation
bin10110101110011000…
…01010100100010000
31011111020212122110200
423113030022210100
5144441224200130
65334341055200
7611222126133
oct132714124420
934436778420
1012200225040
1151a0788713
1224459b7500
1311c579a393
1483a45c21a
154b6121760
hex2d730a910

12200225040 has 120 divisors (see below), whose sum is σ = 41084953728. Its totient is φ = 3244458240.

The previous prime is 12200225039. The next prime is 12200225047. The reversal of 12200225040 is 4052200221.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (12200225047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241155 + ... + 287325.

Almost surely, 212200225040 is an apocalyptic number.

12200225040 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 12200225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542476864).

12200225040 is an abundant number, since it is smaller than the sum of its proper divisors (28884728688).

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

12200225040 is a wasteful number, since it uses less digits than its factorization.

12200225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46557 (or 46548 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12200225040 its reverse (4052200221), we get a palindrome (16252425261).

The spelling of 12200225040 in words is "twelve billion, two hundred million, two hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 367 720 734 1101 1468 1835 2202 2936 3303 3670 4404 5505 5872 6606 7340 8808 11010 13212 14680 16515 17616 22020 26424 29360 33030 44040 46171 52848 66060 88080 92342 132120 138513 184684 230855 264240 277026 369368 415539 461710 554052 692565 738736 831078 923420 1108104 1385130 1662156 1846840 2077695 2216208 2770260 3324312 3693680 4155390 5540520 6648624 8310780 11081040 16621560 16944757 33243120 33889514 50834271 67779028 84723785 101668542 135558056 152502813 169447570 203337084 254171355 271116112 305005626 338895140 406674168 508342710 610011252 677790280 762514065 813348336 1016685420 1220022504 1355580560 1525028130 2033370840 2440045008 3050056260 4066741680 6100112520 12200225040