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122201030122020 = 223253731820092793
BaseRepresentation
bin11011110010010000100100…
…111111011101101000100100
3121000200022012220021012011100
4123302100210333131220210
5112004120202202401040
61111522213411040100
734511506305424353
oct3362204477355044
9530608186235140
10122201030122020
1135a34190803103
12118574658a0030
13532567a535a65
1422267c074d99a
15e1dae1238b30
hex6f2424fdda24

122201030122020 has 72 divisors (see below), whose sum is σ = 371670228905976. Its totient is φ = 32499576893952.

The previous prime is 122201030122001. The next prime is 122201030122021. The reversal of 122201030122020 is 20221030102221.

122201030122020 is a `hidden beast` number, since 122 + 2 + 0 + 1 + 0 + 301 + 220 + 20 = 666.

122201030122020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6408623888676 + 115792406233344 = 2531526^2 + 10760688^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 122201030121984 and 122201030122002.

It is not an unprimeable number, because it can be changed into a prime (122201030122021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909979257 + ... + 910113536.

It is an arithmetic number, because the mean of its divisors is an integer number (5162086512583).

Almost surely, 2122201030122020 is an apocalyptic number.

122201030122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201030122020 is an abundant number, since it is smaller than the sum of its proper divisors (249469198783956).

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

122201030122020 is a wasteful number, since it uses less digits than its factorization.

122201030122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820093181 (or 1820093176 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122201030122020 its reverse (20221030102221), we get a palindrome (142422060224241).

The spelling of 122201030122020 in words is "one hundred twenty-two trillion, two hundred one billion, thirty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 11190 13428 16785 22380 33570 67140 1820092793 3640185586 5460278379 7280371172 9100463965 10920556758 16380835137 18200927930 21841113516 27301391895 32761670274 36401855860 54602783790 65523340548 81904175685 109205567580 163808351370 327616702740 678894611789 1357789223578 2036683835367 2715578447156 3394473058945 4073367670734 6110051506101 6788946117890 8146735341468 10183419176835 12220103012202 13577892235780 20366838353670 24440206024404 30550257530505 40733676707340 61100515061010 122201030122020