Search a number
-
+
122001211120 = 2452322765657
BaseRepresentation
bin111000110011111010…
…1101011111011110000
3102122220110210200001211
41301213311223323300
53444324302223440
6132014021205504
711546206120105
oct1614765537360
9378813720054
10122001211120
1147816559708
121b789b60894
13b673996a69
145c95038aac
153290a06eea
hex1c67d6bef0

122001211120 has 40 divisors (see below), whose sum is σ = 283669348464. Its totient is φ = 48797640192.

The previous prime is 122001211099. The next prime is 122001211153. The reversal of 122001211120 is 21112100221.

122001211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 122001211120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1825332 + ... + 1890988.

Almost surely, 2122001211120 is an apocalyptic number.

122001211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001211120 is an abundant number, since it is smaller than the sum of its proper divisors (161668137344).

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

122001211120 is a wasteful number, since it uses less digits than its factorization.

122001211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88897 (or 88891 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122001211120 its reverse (21112100221), we get a palindrome (143113311341).

The spelling of 122001211120 in words is "one hundred twenty-two billion, one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 23227 46454 65657 92908 116135 131314 185816 232270 262628 328285 371632 464540 525256 656570 929080 1050512 1313140 1858160 2626280 5252560 1525015139 3050030278 6100060556 7625075695 12200121112 15250151390 24400242224 30500302780 61000605560 122001211120