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122100212020 = 22561100082141
BaseRepresentation
bin111000110110110111…
…1010110000100110100
3102200011101002102202211
41301231233112010310
54000030123241040
6132031515143204
711551520451343
oct1615557260464
9380141072684
10122100212020
1147867428536
121b7b7144b04
13b68b34a887
145ca4249b5a
1532995608ea
hex1c6dbd6134

122100212020 has 24 divisors (see below), whose sum is σ = 260613897768. Its totient is φ = 48039427200.

The previous prime is 122100211999. The next prime is 122100212023. The reversal of 122100212020 is 20212001221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10578945316 + 111521266704 = 102854^2 + 333948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100212023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50039851 + ... + 50042290.

It is an arithmetic number, because the mean of its divisors is an integer number (10858912407).

Almost surely, 2122100212020 is an apocalyptic number.

122100212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100212020 is an abundant number, since it is smaller than the sum of its proper divisors (138513685748).

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

122100212020 is a wasteful number, since it uses less digits than its factorization.

122100212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100082211 (or 100082209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122100212020 its reverse (20212001221), we get a palindrome (142312213241).

The spelling of 122100212020 in words is "one hundred twenty-two billion, one hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 100082141 200164282 400328564 500410705 1000821410 2001642820 6105010601 12210021202 24420042404 30525053005 61050106010 122100212020