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120520335320 = 235731137113191
BaseRepresentation
bin111000000111110010…
…0100101111111011000
3102112002021021101100222
41300033210211333120
53433311201212240
6131211041015212
711464414643000
oct1601744457730
9375067241328
10120520335320
1147126650810
121b436024508
13b498c3c3a8
145b944b3000
1532059d8eb5
hex1c0f925fd8

120520335320 has 512 divisors, whose sum is σ = 359313408000. Its totient is φ = 36036403200.

The previous prime is 120520335289. The next prime is 120520335337. The reversal of 120520335320 is 23533025021.

120520335320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 120520335320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 630996425 + ... + 630996615.

It is an arithmetic number, because the mean of its divisors is an integer number (701784000).

Almost surely, 2120520335320 is an apocalyptic number.

120520335320 is a gapful number since it is divisible by the number (10) 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 120520335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179656704000).

120520335320 is an abundant number, since it is smaller than the sum of its proper divisors (238793072680).

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

120520335320 is a wasteful number, since it uses less digits than its factorization.

120520335320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The spelling of 120520335320 in words is "one hundred twenty billion, five hundred twenty million, three hundred thirty-five thousand, three hundred twenty".