Search a number
-
+
120122211120 = 2435598483207
BaseRepresentation
bin110111111011111010…
…1110111101100110000
3102111001112010120122020
41233313311313230300
53432002241223440
6131103335511440
711451511643022
oct1576765675460
9374045116566
10120122211120
1146a4194714a
121b344828580
13b434606842
145b5767a012
1531d0a963d0
hex1bf7d77b30

120122211120 has 80 divisors (see below), whose sum is σ = 378690405120. Its totient is φ = 31489660672.

The previous prime is 120122211101. The next prime is 120122211151. The reversal of 120122211120 is 21112221021.

It is a tau number, because it is divible by the number of its divisors (80).

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 120122211120.

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, 4227444 + ... + 4255763.

It is an arithmetic number, because the mean of its divisors is an integer number (4733630064).

Almost surely, 2120122211120 is an apocalyptic number.

120122211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122211120 is an abundant number, since it is smaller than the sum of its proper divisors (258568194000).

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

120122211120 is a wasteful number, since it uses less digits than its factorization.

120122211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8483282 (or 8483276 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120122211120 its reverse (21112221021), we get a palindrome (141234432141).

Subtracting from 120122211120 its reverse (21112221021), we obtain a palindrome (99009990099).

The spelling of 120122211120 in words is "one hundred twenty billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 8483207 16966414 25449621 33932828 42416035 50899242 67865656 84832070 101798484 127248105 135731312 169664140 203596968 254496210 339328280 407193936 500509213 508992420 678656560 1001018426 1017984840 1501527639 2002036852 2035969680 2502546065 3003055278 4004073704 5005092130 6006110556 7507638195 8008147408 10010184260 12012221112 15015276390 20020368520 24024442224 30030552780 40040737040 60061105560 120122211120