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120320212014 = 232371916311499
BaseRepresentation
bin111000000001110100…
…1001011110000101110
3102111120022201001210200
41300003221023300232
53432403433241024
6131135131414330
711456434633062
oct1600351136056
9374508631720
10120320212014
1147033694152
121b39abb43a6
13b466640c32
145b75a9baa2
1531e31582c9
hex1c03a4bc2e

120320212014 has 96 divisors (see below), whose sum is σ = 269747712000. Its totient is φ = 38731089600.

The previous prime is 120320212009. The next prime is 120320212037. The reversal of 120320212014 is 410212023021.

It is a happy number.

120320212014 is a `hidden beast` number, since 120 + 320 + 21 + 201 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80266237 + ... + 80267735.

It is an arithmetic number, because the mean of its divisors is an integer number (2809872000).

Almost surely, 2120320212014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120320212014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134873856000).

120320212014 is an abundant number, since it is smaller than the sum of its proper divisors (149427499986).

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

120320212014 is a wasteful number, since it uses less digits than its factorization.

120320212014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120320212014 its reverse (410212023021), we get a palindrome (530532235035).

The spelling of 120320212014 in words is "one hundred twenty billion, three hundred twenty million, two hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 191 222 333 382 573 631 666 1146 1262 1499 1719 1893 2998 3438 3786 4497 5679 7067 8994 11358 13491 14134 21201 23347 26982 42402 46694 55463 63603 70041 110926 120521 127206 140082 166389 210123 241042 286309 332778 361563 420246 499167 572618 723126 858927 945869 998334 1084689 1717854 1891738 2169378 2576781 2837607 4459277 5153562 5675214 8512821 8918554 10593433 13377831 17025642 21186866 26755662 31780299 34997153 40133493 63560598 69994306 80266986 95340897 104991459 180660979 190681794 209982918 314974377 361321958 541982937 629948754 1083965874 1625948811 3251897622 6684456223 13368912446 20053368669 40106737338 60160106007 120320212014