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12133555180 = 22517210919259
BaseRepresentation
bin10110100110011011…
…10101101111101100
31011022121102110121121
423103031311233230
5144322142231210
65324000110324
7606452342305
oct132315655754
934277373547
1012133555180
11516709165a
1224276053a4
1311b4a26566
148316657ac
154b03526da
hex2d3375bec

12133555180 has 72 divisors (see below), whose sum is σ = 27317228400. Its totient is φ = 4525784064.

The previous prime is 12133555177. The next prime is 12133555183. The reversal of 12133555180 is 8155533121.

It is an interprime number because it is at equal distance from previous prime (12133555177) and next prime (12133555183).

It is a super-2 number, since 2×121335551802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (12133555183) 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, 620391 + ... + 639649.

It is an arithmetic number, because the mean of its divisors is an integer number (379405950).

Almost surely, 212133555180 is an apocalyptic number.

12133555180 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 12133555180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658614200).

12133555180 is an abundant number, since it is smaller than the sum of its proper divisors (15183673220).

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

12133555180 is a wasteful number, since it uses less digits than its factorization.

12133555180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19411 (or 19392 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 12133555180 in words is "twelve billion, one hundred thirty-three million, five hundred fifty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 289 340 436 545 578 1090 1156 1445 1853 2180 2890 3706 5780 7412 9265 18530 19259 31501 37060 38518 63002 77036 96295 126004 157505 192590 315010 327403 385180 630020 654806 1309612 1637015 2099231 3274030 4198462 5565851 6548060 8396924 10496155 11131702 20992310 22263404 27829255 35686927 41984620 55658510 71373854 111317020 142747708 178434635 356869270 606677759 713738540 1213355518 2426711036 3033388795 6066777590 12133555180