Search a number
-
+
122133132220 = 225111295942839
BaseRepresentation
bin111000110111110110…
…0111011001110111100
3102200020200000221210111
41301233230323032330
54000112040212340
6132035052515404
711552400331531
oct1615754731674
9380220027714
10122133132220
1147883a72a10
121b80617bb64
13b695105a98
145ca8778d88
15329c3b4aea
hex1c6fb3b3bc

122133132220 has 48 divisors (see below), whose sum is σ = 279824025600. Its totient is φ = 44407584320.

The previous prime is 122133132217. The next prime is 122133132221. The reversal of 122133132220 is 22231331221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122133132191 and 122133132200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133132221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2829561 + ... + 2872399.

It is an arithmetic number, because the mean of its divisors is an integer number (5829667200).

Almost surely, 2122133132220 is an apocalyptic number.

122133132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133132220 is an abundant number, since it is smaller than the sum of its proper divisors (157690893380).

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

122133132220 is a wasteful number, since it uses less digits than its factorization.

122133132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55818 (or 55816 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122133132220 its reverse (22231331221), we get a palindrome (144364463441).

The spelling of 122133132220 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 12959 25918 42839 51836 64795 85678 129590 142549 171356 214195 259180 285098 428390 471229 570196 712745 856780 942458 1425490 1884916 2356145 2850980 4712290 9424580 555150601 1110301202 2220602404 2775753005 5551506010 6106656611 11103012020 12213313222 24426626444 30533283055 61066566110 122133132220