Search a number
-
+
1120121200220 = 22511191291207569
BaseRepresentation
bin10000010011001100011…
…011010001111001011100
310222002020011122122102112
4100103030123101321130
5121323002011401340
62214324312413152
7143632435051601
oct20231433217134
93862204578375
101120121200220
113a204a241590
121611063a71b8
138181c60a1c9
143c2dd8dc6a8
151e20c1ad065
hex104cc6d1e5c

1120121200220 has 96 divisors (see below), whose sum is σ = 2703258835200. Its totient is φ = 385578316800.

The previous prime is 1120121200153. The next prime is 1120121200229. The reversal of 1120121200220 is 220021210211.

It is a junction number, because it is equal to n+sod(n) for n = 1120121200195 and 1120121200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120121200229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5292596 + ... + 5500164.

It is an arithmetic number, because the mean of its divisors is an integer number (28158946200).

Almost surely, 21120121200220 is an apocalyptic number.

1120121200220 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 1120121200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351629417600).

1120121200220 is an abundant number, since it is smaller than the sum of its proper divisors (1583137634980).

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

1120121200220 is a wasteful number, since it uses less digits than its factorization.

1120121200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208899 (or 208897 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1120121200220 its reverse (220021210211), we get a palindrome (1340142410431).

Subtracting from 1120121200220 its reverse (220021210211), we obtain a palindrome (900099990009).

The spelling of 1120121200220 in words is "one trillion, one hundred twenty billion, one hundred twenty-one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 1291 2090 2582 4180 5164 6455 12910 14201 24529 25820 28402 49058 56804 71005 98116 122645 142010 207569 245290 269819 284020 415138 490580 539638 830276 1037845 1079276 1349095 2075690 2283259 2698190 3943811 4151380 4566518 5396380 7887622 9133036 11416295 15775244 19719055 22832590 39438110 43381921 45665180 78876220 86763842 173527684 216909605 267971579 433819210 535943158 867638420 1071886316 1339857895 2679715790 2947687369 5091460001 5359431580 5895374738 10182920002 11790749476 14738436845 20365840004 25457300005 29476873690 50914600010 56006060011 58953747380 101829200020 112012120022 224024240044 280030300055 560060600110 1120121200220