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212041331221320 = 233251947659578609
BaseRepresentation
bin110000001101100110111000…
…001110011010001101001000
31000210202221201221200202012200
4300031212320032122031020
5210243041121243040240
62030550235351040200
762443323600034536
oct6015467016321510
91023687657622180
10212041331221320
11616212506284a7
121b947044970060
13914154777ab33
143a50bd88db156
15197aa357a2930
hexc0d9b839a348

212041331221320 has 192 divisors, whose sum is σ = 740838694752000. Its totient is φ = 52428584392704.

The previous prime is 212041331221267. The next prime is 212041331221411. The reversal of 212041331221320 is 23122133140212.

212041331221320 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 4 + 1 + 3 + 312 + 21 + 320 = 666.

It is a super-2 number, since 2×2120413312213202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329467825 + ... + 330110784.

It is an arithmetic number, because the mean of its divisors is an integer number (3858534868500).

Almost surely, 2212041331221320 is an apocalyptic number.

212041331221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212041331221320 is an abundant number, since it is smaller than the sum of its proper divisors (528797363530680).

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

212041331221320 is a wasteful number, since it uses less digits than its factorization.

212041331221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659578692 (or 659578685 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212041331221320 its reverse (23122133140212), we get a palindrome (235163464361532).

The spelling of 212041331221320 in words is "two hundred twelve trillion, forty-one billion, three hundred thirty-one million, two hundred twenty-one thousand, three hundred twenty".