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120130122 = 23719292179
BaseRepresentation
bin1110010100100…
…00101001001010
322101001020112210
413022100221022
5221223130442
615530445550
72656042410
oct712205112
9271036483
10120130122
11618a05a2
12342938b6
131bb71218
1411d512b0
15a82e19c
hex7290a4a

120130122 has 96 divisors (see below), whose sum is σ = 301017600. Its totient is φ = 31219776.

The previous prime is 120130121. The next prime is 120130147. The reversal of 120130122 is 221031021.

It is a junction number, because it is equal to n+sod(n) for n = 120130098 and 120130107.

It is not an unprimeable number, because it can be changed into a prime (120130121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671029 + ... + 671207.

It is an arithmetic number, because the mean of its divisors is an integer number (3135600).

Almost surely, 2120130122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120130122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150508800).

120130122 is an abundant number, since it is smaller than the sum of its proper divisors (180887478).

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

120130122 is a wasteful number, since it uses less digits than its factorization.

120130122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 120130122 is about 10960.3887704771. The cubic root of 120130122 is about 493.4206329355.

Adding to 120130122 its reverse (221031021), we get a palindrome (341161143).

The spelling of 120130122 in words is "one hundred twenty million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 179 203 266 358 399 406 537 551 609 798 841 1074 1102 1218 1253 1653 1682 2506 2523 3306 3401 3759 3857 5046 5191 5887 6802 7518 7714 10203 10382 11571 11774 15573 15979 17661 20406 23142 23807 31146 31958 35322 36337 47614 47937 71421 72674 95874 98629 109011 111853 142842 150539 197258 218022 223706 295887 301078 335559 451617 591774 671118 690403 903234 1053773 1380806 2071209 2107546 2860241 3161319 4142418 5720482 6322638 8580723 17161446 20021687 40043374 60065061 120130122