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120222102104 = 231389113137839
BaseRepresentation
bin110111111110111001…
…0111011001001011000
3102111022111002120022022
41233331302323021120
53432203324231404
6131121304514012
711454134002256
oct1577562731130
9374274076268
10120222102104
1146a93273785
121b37217b908
13b44c20c830
145b66a3d5d6
1531d97288be
hex1bfdcbb258

120222102104 has 128 divisors (see below), whose sum is σ = 249761232000. Its totient is φ = 53916893184.

The previous prime is 120222102089. The next prime is 120222102107. The reversal of 120222102104 is 401201222021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222102107) 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 31 ways as a sum of consecutive naturals, for example, 143291717 + ... + 143292555.

It is an arithmetic number, because the mean of its divisors is an integer number (1951259625).

Almost surely, 2120222102104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120222102104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124880616000).

120222102104 is an abundant number, since it is smaller than the sum of its proper divisors (129539129896).

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

120222102104 is a wasteful number, since it uses less digits than its factorization.

120222102104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120222102104 its reverse (401201222021), we get a palindrome (521423324125).

The spelling of 120222102104 in words is "one hundred twenty billion, two hundred twenty-two million, one hundred two thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 89 104 113 137 178 226 274 356 452 548 712 839 904 1096 1157 1469 1678 1781 2314 2938 3356 3562 4628 5876 6712 7124 9256 10057 10907 11752 12193 14248 15481 20114 21814 24386 30962 40228 43628 48772 61924 74671 80456 87256 94807 97544 114943 123848 130741 149342 158509 189614 201253 229886 261482 298684 317018 379228 402506 459772 522964 597368 634036 758456 805012 919544 970723 1045928 1232491 1268072 1377809 1494259 1610024 1941446 2464982 2755618 2988518 3882892 4929964 5511236 5977036 7765784 8437823 9859928 10229927 11022472 11954072 12988559 16875646 17911517 20459854 25977118 33751292 35823034 40919708 51954236 67502584 71646068 81839416 103908472 109691699 132989051 143292136 168851267 219383398 265978102 337702534 438766796 531956204 675405068 877533592 1063912408 1155981751 1350810136 2311963502 4623927004 9247854008 15027762763 30055525526 60111051052 120222102104