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12021102210210 = 2353727074000673
BaseRepresentation
bin1010111011101110000110…
…0001101110110010100010
31120120012120021121110012120
42232323201201232302202
53033423204131211320
641322230151405110
72350332055566162
oct256734141566242
946505507543176
1012021102210210
113915136898755
12142192a983796
1369277b5401c2
142d7b7841a5a2
1515ca6a80c440
hexaeee186eca2

12021102210210 has 64 divisors (see below), whose sum is σ = 29641345725312. Its totient is φ = 3117835708416.

The previous prime is 12021102210023. The next prime is 12021102210223. The reversal of 12021102210210 is 1201220112021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12021102210210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004434 + ... + 5005106.

It is an arithmetic number, because the mean of its divisors is an integer number (463146026958).

Almost surely, 212021102210210 is an apocalyptic number.

12021102210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021102210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820672862656).

12021102210210 is an abundant number, since it is smaller than the sum of its proper divisors (17620243515102).

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

12021102210210 is a wasteful number, since it uses less digits than its factorization.

12021102210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003427.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12021102210210 its reverse (1201220112021), we get a palindrome (13222322322231).

The spelling of 12021102210210 in words is "twelve trillion, twenty-one billion, one hundred two million, two hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 2707 5414 8121 13535 16242 27070 40605 81210 100159 200318 300477 500795 600954 1001590 1502385 3004770 4000673 8001346 12002019 20003365 24004038 40006730 60010095 120020190 148024901 296049802 444074703 740124505 888149406 1480249010 2220373515 4440747030 10829821811 21659643622 32489465433 54149109055 64978930866 108298218110 162447327165 324894654330 400703407007 801406814014 1202110221021 2003517035035 2404220442042 4007034070070 6010551105105 12021102210210