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12020752692 = 223213127263769
BaseRepresentation
bin10110011000111111…
…00010000100110100
31011000202011111200200
423030133202010310
5144104303041232
65304450240500
7603612466134
oct131437420464
934022144620
1012020752692
115109446463
1223b5886130
13119754c720
148206a0ac4
154a54be77c
hex2cc7e2134

12020752692 has 144 divisors (see below), whose sum is σ = 33149276160. Its totient is φ = 3650863104.

The previous prime is 12020752669. The next prime is 12020752721. The reversal of 12020752692 is 29625702021.

It is a happy number.

12020752692 is a `hidden beast` number, since 1 + 20 + 20 + 7 + 526 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15631284 + ... + 15632052.

Almost surely, 212020752692 is an apocalyptic number.

12020752692 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 12020752692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16574638080).

12020752692 is an abundant number, since it is smaller than the sum of its proper divisors (21128523468).

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

12020752692 is a wasteful number, since it uses less digits than its factorization.

12020752692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12020752692 in words is "twelve billion, twenty million, seven hundred fifty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 263 381 468 508 526 762 769 789 1052 1143 1524 1538 1578 1651 2286 2307 2367 3076 3156 3302 3419 4572 4614 4734 4953 6604 6838 6921 9228 9468 9906 9997 10257 13676 13842 14859 19812 19994 20514 27684 29718 29991 30771 33401 39988 41028 59436 59982 61542 66802 89973 97663 100203 119964 123084 133604 179946 195326 200406 202247 292989 300609 359892 390652 400812 404494 434213 585978 601218 606741 808988 868426 878967 1171956 1202436 1213482 1269619 1302639 1736852 1757934 1820223 2426964 2539238 2605278 2629211 3515868 3640446 3808857 3907917 5078476 5210556 5258422 7280892 7617714 7815834 7887633 10516844 11426571 15235428 15631668 15775266 22853142 23662899 25685369 31550532 45706284 47325798 51370738 77056107 94651596 102741476 154112214 231168321 308224428 333909797 462336642 667819594 924673284 1001729391 1335639188 2003458782 3005188173 4006917564 6010376346 12020752692