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122020200 = 23325267789
BaseRepresentation
bin1110100010111…
…10000101101000
322111121021020200
413101132011220
5222214121300
620035152200
73011104011
oct721360550
9274537220
10122020200
1162971645
1234a45660
131c383603
14122c4008
15aaa4200
hex745e168

122020200 has 72 divisors (see below), whose sum is σ = 409790550. Its totient is φ = 32538240.

The previous prime is 122020193. The next prime is 122020211. The reversal of 122020200 is 2020221.

It can be written as a sum of positive squares in 3 ways, for example, as 112911876 + 9108324 = 10626^2 + 3018^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32095 + ... + 35694.

Almost surely, 2122020200 is an apocalyptic number.

122020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020200 is an abundant number, since it is smaller than the sum of its proper divisors (287770350).

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

122020200 is a wasteful number, since it uses less digits than its factorization.

122020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67811 (or 67799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 122020200 is about 11046.2753903748. The cubic root of 122020200 is about 495.9949379470.

Adding to 122020200 its reverse (2020221), we get a palindrome (124040421).

The spelling of 122020200 in words is "one hundred twenty-two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 67789 135578 203367 271156 338945 406734 542312 610101 677890 813468 1016835 1220202 1355780 1626936 1694725 2033670 2440404 2711560 3050505 3389450 4067340 4880808 5084175 6101010 6778900 8134680 10168350 12202020 13557800 15252525 20336700 24404040 30505050 40673400 61010100 122020200