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12021201012020 = 2252089582149429
BaseRepresentation
bin1010111011101110011101…
…1010101000010100110100
31120120012211011112002210212
42232323213122220110310
53033423404424341040
641322244041204552
72350334365441124
oct256734732502464
946505734462725
1012021201012020
113915187640a42
121421957a90758
13692795b54505
142d7b875b8c84
1515ca74326d65
hexaeee76a8534

12021201012020 has 48 divisors (see below), whose sum is σ = 25261456558800. Its totient is φ = 4805255715840.

The previous prime is 12021201012001. The next prime is 12021201012047. The reversal of 12021201012020 is 2021010212021.

It can be written as a sum of positive squares in 8 ways, for example, as 1928659892644 + 10092541119376 = 1388762^2 + 3176876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12021201011986 and 12021201012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243176666 + ... + 243226094.

It is an arithmetic number, because the mean of its divisors is an integer number (526280344975).

Almost surely, 212021201012020 is an apocalyptic number.

12021201012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021201012020 is an abundant number, since it is smaller than the sum of its proper divisors (13240255546780).

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

12021201012020 is a wasteful number, since it uses less digits than its factorization.

12021201012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57348 (or 57346 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12021201012020 its reverse (2021010212021), we get a palindrome (14042211224041).

The spelling of 12021201012020 in words is "twelve trillion, twenty-one billion, two hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 2089 4178 5821 8356 10445 11642 20890 23284 29105 41780 49429 58210 98858 116420 197716 247145 494290 988580 12160069 24320138 48640276 60800345 103257181 121600690 206514362 243201380 287726209 413028724 516285905 575452418 1032571810 1150904836 1438631045 2065143620 2877262090 5754524180 601060050601 1202120101202 2404240202404 3005300253005 6010600506010 12021201012020