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122244141442221 = 3261312215410599
BaseRepresentation
bin11011110010111000101110…
…101000000110010010101101
3121000211102111101211011121100
4123302320232220012102231
5112010322000202122341
61111554103332153313
734514563532541501
oct3362705650062255
9530742441734540
10122244141442221
1135a504a3a45057
1211863897768839
13532975b077a96
142228910220301
15e1ecb5e533b6
hex6f2e2ea064ad

122244141442221 has 12 divisors (see below), whose sum is σ = 176603671389600. Its totient is φ = 81482801794440.

The previous prime is 122244141442123. The next prime is 122244141442273.

122244141442221 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 4 + 414 + 14 + 4 + 2 + 221 = 666.

122244141442221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122244141442221 - 211 = 122244141440173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122244141441221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1107650121 + ... + 1107760478.

It is an arithmetic number, because the mean of its divisors is an integer number (14716972615800).

Almost surely, 2122244141442221 is an apocalyptic number.

It is an amenable number.

122244141442221 is a deficient number, since it is larger than the sum of its proper divisors (54359529947379).

122244141442221 is a wasteful number, since it uses less digits than its factorization.

122244141442221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215416736 (or 2215416733 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 122244141442221 in words is "one hundred twenty-two trillion, two hundred forty-four billion, one hundred forty-one million, four hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 6131 18393 55179 2215410599 6646231797 19938695391 13582682382469 40748047147407 122244141442221