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122201220200 = 23525311528417
BaseRepresentation
bin111000111001111000…
…0101010010001101000
3102200102102011011221112
41301303300222101220
54000232003021300
6132045524125452
711554155143003
oct1616360522150
9380372134845
10122201220200
1147909448474
121b824b36888
13b6a6255227
145cb382053a
1532a3363e35
hex1c73c2a468

122201220200 has 48 divisors (see below), whose sum is σ = 289478575980. Its totient is φ = 47958210560.

The previous prime is 122201220181. The next prime is 122201220209. The reversal of 122201220200 is 2022102221.

It can be written as a sum of positive squares in 6 ways, for example, as 79475503396 + 42725716804 = 281914^2 + 206702^2 .

It is not an unprimeable number, because it can be changed into a prime (122201220209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5753609 + ... + 5774808.

Almost surely, 2122201220200 is an apocalyptic number.

122201220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201220200 is an abundant number, since it is smaller than the sum of its proper divisors (167277355780).

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

122201220200 is a wasteful number, since it uses less digits than its factorization.

122201220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528486 (or 11528477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122201220200 its reverse (2022102221), we get a palindrome (124223322421).

The spelling of 122201220200 in words is "one hundred twenty-two billion, two hundred one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 11528417 23056834 46113668 57642085 92227336 115284170 230568340 288210425 461136680 576420850 611006101 1152841700 1222012202 2305683400 2444024404 3055030505 4888048808 6110061010 12220122020 15275152525 24440244040 30550305050 61100610100 122201220200