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120020895936 = 263529266117
BaseRepresentation
bin110111111000111001…
…1011000100011000000
3102110210110111020100000
41233301303120203000
53431300322132221
6131045320200000
711446141532334
oct1576163304300
9373713436300
10120020895936
114699a737597
121b316909000
13b419622526
145b480257c4
1531c6c31e26
hex1bf1cd88c0

120020895936 has 168 divisors, whose sum is σ = 369063087120. Its totient is φ = 38627269632.

The previous prime is 120020895881. The next prime is 120020895949. The reversal of 120020895936 is 639598020021.

It is a super-2 number, since 2×1200208959362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120020895891 and 120020895900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317950 + ... + 584066.

It is an arithmetic number, because the mean of its divisors is an integer number (2196804090).

Almost surely, 2120020895936 is an apocalyptic number.

120020895936 is a gapful number since it is divisible by the number (16) 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 120020895936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184531543560).

120020895936 is an abundant number, since it is smaller than the sum of its proper divisors (249042191184).

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

120020895936 is an equidigital number, since it uses as much as digits as its factorization.

120020895936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266173 (or 266151 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 120020895936 in words is "one hundred twenty billion, twenty million, eight hundred ninety-five thousand, nine hundred thirty-six".