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12020320288 = 251753835023
BaseRepresentation
bin10110011000111011…
…11000100000100000
31011000201100112112201
423030131320200200
5144104200222123
65304433102544
7603606015364
oct131435704040
934021315481
1012020320288
1151091805a9
1223b56b7a54
13119742a972
148205cb2a4
154a54365ad
hex2cc778820

12020320288 has 96 divisors (see below), whose sum is σ = 25842571776. Its totient is φ = 5481934848.

The previous prime is 12020320267. The next prime is 12020320297. The reversal of 12020320288 is 88202302021.

It is a super-2 number, since 2×120203202882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2390545 + ... + 2395567.

It is an arithmetic number, because the mean of its divisors is an integer number (269193456).

Almost surely, 212020320288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020320288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12921285888).

12020320288 is an abundant number, since it is smaller than the sum of its proper divisors (13822251488).

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

12020320288 is a wasteful number, since it uses less digits than its factorization.

12020320288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 12020320288 in words is "twelve billion, twenty million, three hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 68 83 106 136 166 212 272 332 424 544 664 848 901 1328 1411 1696 1802 2656 2822 3604 4399 5023 5644 7208 8798 10046 11288 14416 17596 20092 22576 28832 35192 40184 45152 70384 74783 80368 85391 140768 149566 160736 170782 266219 299132 341564 416909 532438 598264 683128 833818 1064876 1196528 1366256 1667636 2129752 2393056 2732512 3335272 4259504 4525723 6670544 7087453 8519008 9051446 13341088 14174906 18102892 22096177 28349812 36205784 44192354 56699624 72411568 88384708 113399248 144823136 176769416 226798496 353538832 375635009 707077664 751270018 1502540036 3005080072 6010160144 12020320288