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221221120120120 = 23523240457739261
BaseRepresentation
bin110010010011001100001110…
…010010000001010100111000
31002000021112101020000221101201
4302103030032102001110320
5212443441323222320440
62102255325105423544
764411461404161621
oct6223141622012470
91060245336027351
10221221120120120
11645403940a32aa
122098a17563abb4
1396590a660bbc3
143c8b23334aa48
151a89707d8919a
hexc9330e481538

221221120120120 has 32 divisors (see below), whose sum is σ = 519388716805920. Its totient is φ = 84641124219520.

The previous prime is 221221120120103. The next prime is 221221120120157. The reversal of 221221120120120 is 21021021122122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120228868711 + ... + 120228870550.

It is an arithmetic number, because the mean of its divisors is an integer number (16230897400185).

Almost surely, 2221221120120120 is an apocalyptic number.

221221120120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221120120120 is an abundant number, since it is smaller than the sum of its proper divisors (298167596685800).

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

221221120120120 is a wasteful number, since it uses less digits than its factorization.

221221120120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240457739295 (or 240457739291 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221221120120120 its reverse (21021021122122), we get a palindrome (242242141242242).

The spelling of 221221120120120 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 240457739261 480915478522 961830957044 1202288696305 1923661914088 2404577392610 4809154785220 5530528003003 9618309570440 11061056006006 22122112012012 27652640015015 44244224024024 55305280030030 110610560060060 221221120120120