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12090272508 = 223219101317449
BaseRepresentation
bin10110100001010001…
…01110101011111100
31011012120222110221200
423100220232223330
5144230102210013
65315412255500
7605415422616
oct132050565374
934176873850
1012090272508
115144709756
122415011590
1311a8a80802
148299d9db6
154ab652e73
hex2d0a2eafc

12090272508 has 72 divisors (see below), whose sum is σ = 32203626000. Its totient is φ = 3813993216.

The previous prime is 12090272503. The next prime is 12090272533. The reversal of 12090272508 is 80527209021.

12090272508 is a `hidden beast` number, since 120 + 9 + 0 + 27 + 2 + 508 = 666.

It is a super-2 number, since 2×120902725082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12090272501) 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, 684168 + ... + 701616.

Almost surely, 212090272508 is an apocalyptic number.

12090272508 is a gapful number since it is divisible by the number (18) 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 12090272508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101813000).

12090272508 is an abundant number, since it is smaller than the sum of its proper divisors (20113353492).

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

12090272508 is a wasteful number, since it uses less digits than its factorization.

12090272508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18491 (or 18486 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12090272508 in words is "twelve billion, ninety million, two hundred seventy-two thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1013 2026 3039 4052 6078 9117 12156 17449 18234 19247 34898 36468 38494 52347 57741 69796 76988 104694 115482 157041 173223 209388 230964 314082 331531 346446 628164 663062 692892 994593 1326124 1989186 2983779 3978372 5967558 11935116 17675837 35351674 53027511 70703348 106055022 159082533 212110044 318165066 335840903 636330132 671681806 1007522709 1343363612 2015045418 3022568127 4030090836 6045136254 12090272508