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120201221011122 = 2334867745728959
BaseRepresentation
bin11011010101001010000111…
…000101000111011010110010
3120202121010100202121111211000
4123111022013011013122302
5111223334100034323442
61103351402325302430
734214152211436306
oct3325120705073262
9522533322544730
10120201221011122
1135333062692109
1211593975864a16
13520bc076b8a24
142197aad38dd06
15dd6a99db5d4c
hex6d52871476b2

120201221011122 has 32 divisors (see below), whose sum is σ = 267119317785600. Its totient is φ = 40066249672944.

The previous prime is 120201221011099. The next prime is 120201221011127. The reversal of 120201221011122 is 221110122102021.

120201221011122 is a `hidden beast` number, since 120 + 201 + 2 + 210 + 11 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120201221011095 and 120201221011104.

It is not an unprimeable number, because it can be changed into a prime (120201221011127) by changing a digit.

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, 20235922 + ... + 25493037.

It is an arithmetic number, because the mean of its divisors is an integer number (8347478680800).

Almost surely, 2120201221011122 is an apocalyptic number.

120201221011122 is an abundant number, since it is smaller than the sum of its proper divisors (146918096774478).

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

120201221011122 is a wasteful number, since it uses less digits than its factorization.

120201221011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45777647 (or 45777641 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120201221011122 its reverse (221110122102021), we get a palindrome (341311343113143).

The spelling of 120201221011122 in words is "one hundred twenty trillion, two hundred one billion, two hundred twenty-one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 48677 97354 146031 292062 438093 876186 1314279 2628558 45728959 91457918 137186877 274373754 411560631 823121262 1234681893 2469363786 2225948537243 4451897074486 6677845611729 13355691223458 20033536835187 40067073670374 60100610505561 120201221011122