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122120220201201 = 351016311378839
BaseRepresentation
bin11011110001000101010100…
…010110000101000011110001
3121000101120122010010212200000
4123301011110112011003301
5112001304202332414301
61111421131002020213
734502615620426515
oct3361052426050361
9530346563125600
10122120220201201
1135a029926aa582
12118438727a7669
13531ab6c686571
1422229161c6145
15e1b961ad3786
hex6f11545850f1

122120220201201 has 48 divisors (see below), whose sum is σ = 184745503313280. Its totient is φ = 80605106467200.

The previous prime is 122120220201181. The next prime is 122120220201227. The reversal of 122120220201201 is 102102022021221.

It is a happy number.

122120220201201 is a `hidden beast` number, since 1 + 2 + 21 + 20 + 220 + 201 + 201 = 666.

It is not a de Polignac number, because 122120220201201 - 25 = 122120220201169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122120220201401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1548942940 + ... + 1549021778.

It is an arithmetic number, because the mean of its divisors is an integer number (3848864652360).

Almost surely, 2122120220201201 is an apocalyptic number.

It is an amenable number.

122120220201201 is a deficient number, since it is larger than the sum of its proper divisors (62625283112079).

122120220201201 is an equidigital number, since it uses as much as digits as its factorization.

122120220201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142068 (or 142056 counting only the distinct ones).

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

Adding to 122120220201201 its reverse (102102022021221), we get a palindrome (224222242222422).

The spelling of 122120220201201 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty million, two hundred one thousand, two hundred one".

Divisors: 1 3 9 27 81 101 243 303 909 2727 8181 24543 63113 78839 189339 236517 568017 709551 1704051 2128653 5112153 6374413 6385959 7962739 15336459 19123239 19157877 23888217 57369717 71664651 172109151 214993953 516327453 644981859 1548982359 1934945577 4975765807 14927297421 44781892263 134345676789 403037030367 502552346507 1209111091101 1507657039521 4522971118563 13568913355689 40706740067067 122120220201201