Search a number
-
+
122210033112 = 23327123906501
BaseRepresentation
bin111000111010001001…
…0010001110111011000
3102200110000201220222200
41301310102101313120
54000241232024422
6132050441050200
711554323066426
oct1616422216730
9380400656880
10122210033112
1147913417772
121b827a86960
13b6a801c67b
145cb4a76116
1532a40052ac
hex1c74491dd8

122210033112 has 48 divisors (see below), whose sum is σ = 335647288080. Its totient is φ = 40162920000.

The previous prime is 122210033111. The next prime is 122210033147. The reversal of 122210033112 is 211330012221.

122210033112 is a `hidden beast` number, since 1 + 222 + 100 + 331 + 12 = 666.

It is a super-2 number, since 2×1222100331122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210033111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11948139 + ... + 11958362.

It is an arithmetic number, because the mean of its divisors is an integer number (6992651835).

Almost surely, 2122210033112 is an apocalyptic number.

122210033112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122210033112 is an abundant number, since it is smaller than the sum of its proper divisors (213437254968).

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

122210033112 is a wasteful number, since it uses less digits than its factorization.

122210033112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23906584 (or 23906577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122210033112 its reverse (211330012221), we get a palindrome (333540045333).

The spelling of 122210033112 in words is "one hundred twenty-two billion, two hundred ten million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 23906501 47813002 71719503 95626004 143439006 191252008 215158509 286878012 430317018 573756024 860634036 1697361571 1721268072 3394723142 5092084713 6789446284 10184169426 13578892568 15276254139 20368338852 30552508278 40736677704 61105016556 122210033112