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120221222001102 = 232371015131778219
BaseRepresentation
bin11011010101011100101111…
…001110110101100111001110
3120202200000222200000002001200
4123111130233032311213032
5111224201030313013402
61103404511132050330
734215460645155405
oct3325345716654716
9522600880002050
10120221222001102
11353405967279a2
12115978180039a6
135210a7434c141
142198a4985263c
15dd736ac7a21c
hex6d572f3b59ce

120221222001102 has 48 divisors (see below), whose sum is σ = 267522081568560. Its totient is φ = 38990260573056.

The previous prime is 120221222001059. The next prime is 120221222001109. The reversal of 120221222001102 is 201100222122021.

It is a happy number.

120221222001102 is a `hidden beast` number, since 120 + 2 + 212 + 220 + 0 + 110 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221222001109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66718549 + ... + 68496767.

It is an arithmetic number, because the mean of its divisors is an integer number (5573376699345).

Almost surely, 2120221222001102 is an apocalyptic number.

120221222001102 is an abundant number, since it is smaller than the sum of its proper divisors (147300859567458).

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

120221222001102 is a wasteful number, since it uses less digits than its factorization.

120221222001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879777 (or 1879774 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120221222001102 its reverse (201100222122021), we get a palindrome (321321444123123).

The spelling of 120221222001102 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-two million, one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 101513 203026 304539 609078 913617 1778219 1827234 3556438 3755981 5334657 7511962 10669314 11267943 16003971 22535886 32007942 33803829 65794103 67607658 131588206 197382309 394764618 592146927 1184293854 180512345347 361024690694 541537036041 1083074072082 1624611108123 3249222216246 6678956777839 13357913555678 20036870333517 40073740667034 60110611000551 120221222001102