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120350220 = 223516712011
BaseRepresentation
bin1110010110001…
…10011000001100
322101110102110120
413023012120030
5221302201340
615535304540
72660650164
oct713063014
9271412416
10120350220
1161a309a1
123437b150
131bc1a463
1411dab5a4
15a8744d0
hex72c660c

120350220 has 48 divisors (see below), whose sum is σ = 339026688. Its totient is φ = 31898560.

The previous prime is 120350189. The next prime is 120350239. The reversal of 120350220 is 22053021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120350220.

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, 4015 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (7063056).

Almost surely, 2120350220 is an apocalyptic number.

120350220 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 120350220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169513344).

120350220 is an abundant number, since it is smaller than the sum of its proper divisors (218676468).

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

120350220 is a wasteful number, since it uses less digits than its factorization.

120350220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12190 (or 12188 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 120350220 is about 10970.4247866708. The cubic root of 120350220 is about 493.7217914772.

The spelling of 120350220 in words is "one hundred twenty million, three hundred fifty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2505 3340 5010 10020 12011 24022 36033 48044 60055 72066 120110 144132 180165 240220 360330 720660 2005837 4011674 6017511 8023348 10029185 12035022 20058370 24070044 30087555 40116740 60175110 120350220