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120161610112 = 2710116195741
BaseRepresentation
bin110111111101000110…
…0001010100110000000
3102111011021021020220011
41233322030022212000
53432042333010422
6131111304154304
711452500555625
oct1577214124600
9374137236804
10120161610112
1146a621071a5
121b355a68994
13b43c81c95b
145b5c9b434c
1531d427a077
hex1bfa30a980

120161610112 has 64 divisors (see below), whose sum is σ = 241946060400. Its totient is φ = 59438848000.

The previous prime is 120161610109. The next prime is 120161610131. The reversal of 120161610112 is 211016161021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 20927562 + ... + 20933302.

Almost surely, 2120161610112 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 120161610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120973030200).

120161610112 is an abundant number, since it is smaller than the sum of its proper divisors (121784450288).

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

120161610112 is a wasteful number, since it uses less digits than its factorization.

120161610112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 120161610112 its reverse (211016161021), we get a palindrome (331177771133).

The spelling of 120161610112 in words is "one hundred twenty billion, one hundred sixty-one million, six hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 1619 3232 3238 5741 6464 6476 11482 12928 12952 22964 25904 45928 51808 91856 103616 163519 183712 207232 327038 367424 579841 654076 734848 1159682 1308152 2319364 2616304 4638728 5232608 9277456 9294679 10465216 18554912 18589358 20930432 37109824 37178716 74219648 74357432 148714864 297429728 594859456 938762579 1189718912 1877525158 3755050316 7510100632 15020201264 30040402528 60080805056 120161610112