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120220264032 = 25311113844947
BaseRepresentation
bin110111111110110101…
…1111010011001100000
3102111022100122011221120
41233331223322121200
53432202341422112
6131121201252240
711454112245411
oct1577553723140
9374270564846
10120220264032
1146a92228810
121b371634080
13b44ba1800b
145b666c1808
1531d94b3e8c
hex1bfdafa660

120220264032 has 48 divisors (see below), whose sum is σ = 344267122752. Its totient is φ = 36430382720.

The previous prime is 120220263991. The next prime is 120220264049. The reversal of 120220264032 is 230462022021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 120220263993 and 120220264011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56921418 + ... + 56923529.

It is an arithmetic number, because the mean of its divisors is an integer number (7172231724).

Almost surely, 2120220264032 is an apocalyptic number.

120220264032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120220264032 is an abundant number, since it is smaller than the sum of its proper divisors (224046858720).

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

120220264032 is a wasteful number, since it uses less digits than its factorization.

120220264032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113844971 (or 113844963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 120220264032 its reverse (230462022021), we get a palindrome (350682286053).

The spelling of 120220264032 in words is "one hundred twenty billion, two hundred twenty million, two hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 113844947 227689894 341534841 455379788 683069682 910759576 1252294417 1366139364 1821519152 2504588834 2732278728 3643038304 3756883251 5009177668 5464557456 7513766502 10018355336 10929114912 15027533004 20036710672 30055066008 40073421344 60110132016 120220264032