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120112102032 = 24313419459397
BaseRepresentation
bin110111111011100111…
…1010011101010010000
3102111000211002222120120
41233313033103222100
53431442144231112
6131102335110240
711451330010326
oct1576717235220
9374024088516
10120112102032
1146a3717202a
121b341372380
13b4324a7430
145b561a7d16
1531cec4ae8c
hex1bf73d3a90

120112102032 has 80 divisors (see below), whose sum is σ = 334956269760. Its totient is φ = 36869285376.

The previous prime is 120112102027. The next prime is 120112102051. The reversal of 120112102032 is 230201211021.

120112102032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31758 + ... + 491154.

It is an arithmetic number, because the mean of its divisors is an integer number (4186953372).

Almost surely, 2120112102032 is an apocalyptic number.

120112102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120112102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167478134880).

120112102032 is an abundant number, since it is smaller than the sum of its proper divisors (214844167728).

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

120112102032 is a wasteful number, since it uses less digits than its factorization.

120112102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459840 (or 459834 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120112102032 its reverse (230201211021), we get a palindrome (350313313053).

The spelling of 120112102032 in words is "one hundred twenty billion, one hundred twelve million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 419 624 838 1257 1676 2514 3352 5028 5447 6704 10056 10894 16341 20112 21788 32682 43576 65364 87152 130728 261456 459397 918794 1378191 1837588 2756382 3675176 5512764 5972161 7350352 11025528 11944322 17916483 22051056 23888644 35832966 47777288 71665932 95554576 143331864 192487343 286663728 384974686 577462029 769949372 1154924058 1539898744 2309848116 2502335459 3079797488 4619696232 5004670918 7507006377 9239392464 10009341836 15014012754 20018683672 30028025508 40037367344 60056051016 120112102032