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12033342420 = 223511149912163
BaseRepresentation
bin10110011010011111…
…00011101111010100
31011001121212010112220
423031033203233110
5144121013424140
65310020142340
7604124502651
oct131517435724
934047763486
1012033342420
1151155652a0
1223b9b379b0
13119a039c78
1482221ac28
154a6659bd0
hex2cd3e3bd4

12033342420 has 96 divisors (see below), whose sum is σ = 36783936000. Its totient is φ = 2914988160.

The previous prime is 12033342397. The next prime is 12033342421. The reversal of 12033342420 is 2424333021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033342421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983259 + ... + 995421.

It is an arithmetic number, because the mean of its divisors is an integer number (383166000).

Almost surely, 212033342420 is an apocalyptic number.

12033342420 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 12033342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18391968000).

12033342420 is an abundant number, since it is smaller than the sum of its proper divisors (24750593580).

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

12033342420 is a wasteful number, since it uses less digits than its factorization.

12033342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13685 (or 13683 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12033342420 its reverse (2424333021), we get a palindrome (14457675441).

It can be divided in two parts, 12033 and 342420, that added together give a palindrome (354453).

The spelling of 12033342420 in words is "twelve billion, thirty-three million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1499 2998 4497 5996 7495 8994 12163 14990 16489 17988 22485 24326 29980 32978 36489 44970 48652 49467 60815 65956 72978 82445 89940 98934 121630 133793 145956 164890 182445 197868 243260 247335 267586 329780 364890 401379 494670 535172 668965 729780 802758 989340 1337930 1605516 2006895 2675860 4013790 8027580 18232337 36464674 54697011 72929348 91161685 109394022 182323370 200555707 218788044 273485055 364646740 401111414 546970110 601667121 802222828 1002778535 1093940220 1203334242 2005557070 2406668484 3008335605 4011114140 6016671210 12033342420