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12021148881 = 32722322272
BaseRepresentation
bin10110011001000010…
…00010110011010001
31011000202220122011100
423030201002303101
5144104403231011
65304502535013
7603616036200
oct131441026321
934022818140
1012021148881
115109697095
1223b5a37469
13119765ab61
14820765237
154a554bd56
hex2cc842cd1

12021148881 has 81 divisors (see below), whose sum is σ = 21208621161. Its totient is φ = 6541620624.

The previous prime is 12021148829. The next prime is 12021148939. The reversal of 12021148881 is 18884112021.

The square root of 12021148881 is 109641.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 12021148881 - 27 = 12021148753 is a prime.

It is a super-2 number, since 2×120211488812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12021148801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52956490 + ... + 52956716.

Almost surely, 212021148881 is an apocalyptic number.

12021148881 is the 109641-st square number.

12021148881 is the 54821-st centered octagonal number.

It is an amenable number.

12021148881 is a deficient number, since it is larger than the sum of its proper divisors (9187472280).

12021148881 is an equidigital number, since it uses as much as digits as its factorization.

12021148881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

Multiplying 12021148881 by its sum of digits (36), we get a square (432761359716 = 6578462).

The spelling of 12021148881 in words is "twelve billion, twenty-one million, one hundred forty-eight thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 227 441 483 529 681 1127 1449 1587 1589 2043 3381 3703 4761 4767 5221 10143 11109 11123 14301 15663 25921 33327 33369 36547 46989 51529 77763 100107 109641 120083 154587 233289 255829 328923 360249 360703 463761 767487 840581 1080747 1082109 1185167 2302461 2521743 2524921 3246327 3555501 5884067 7565229 7574763 8296169 10666503 17652201 22724289 24888507 27258841 52956603 58073183 74665521 81776523 174219549 190811887 245329569 522658647 572435661 1335683209 1717306983 4007049627 12021148881