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221320121232120 = 233517910303543819
BaseRepresentation
bin110010010100101000011011…
…001101010010101011111000
31002000121222220210002111220120
4302110220123031102223320
5213002102102013411440
62102413020551053240
764421564631560331
oct6224503315225370
91060558823074816
10221320121232120
11645793776a5029
12209a53a4971220
1396655231b0651
143c91d4586d288
151a8c09e561dd0
hexc94a1b352af8

221320121232120 has 64 divisors (see below), whose sum is σ = 667669639536000. Its totient is φ = 58688985587328.

The previous prime is 221320121232107. The next prime is 221320121232137. The reversal of 221320121232120 is 21232121023122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5151750430 + ... + 5151793389.

It is an arithmetic number, because the mean of its divisors is an integer number (10432338117750).

Almost surely, 2221320121232120 is an apocalyptic number.

221320121232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221320121232120 is an abundant number, since it is smaller than the sum of its proper divisors (446349518303880).

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

221320121232120 is a wasteful number, since it uses less digits than its factorization.

221320121232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10303544012 (or 10303544008 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221320121232120 its reverse (21232121023122), we get a palindrome (242552242255242).

The spelling of 221320121232120 in words is "two hundred twenty-one trillion, three hundred twenty billion, one hundred twenty-one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 5370 7160 10740 21480 10303543819 20607087638 30910631457 41214175276 51517719095 61821262914 82428350552 103035438190 123642525828 154553157285 206070876380 247285051656 309106314570 412141752760 618212629140 1236425258280 1844334343601 3688668687202 5533003030803 7377337374404 9221671718005 11066006061606 14754674748808 18443343436010 22132012123212 27665015154015 36886686872020 44264024246424 55330030308030 73773373744040 110660060616060 221320121232120