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221001210012 = 2231137401112843
BaseRepresentation
bin1100110111010010110…
…0101101100010011100
3210010102221202200200110
43031310230231202130
512110102302210022
6245305422530020
721652421201352
oct3156454554234
9703387680613
10221001210012
11857a9470110
12369b8a36910
1317ac026896b
14a9a734b7d2
155b3706000c
hex3374b2d89c

221001210012 has 96 divisors (see below), whose sum is σ = 579198461184. Its totient is φ = 64996992000.

The previous prime is 221001210011. The next prime is 221001210019. The reversal of 221001210012 is 210012100122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 221001210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001210011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902063 + ... + 2014905.

It is an arithmetic number, because the mean of its divisors is an integer number (6033317304).

Almost surely, 2221001210012 is an apocalyptic number.

221001210012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221001210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289599230592).

221001210012 is an abundant number, since it is smaller than the sum of its proper divisors (358197251172).

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

221001210012 is a wasteful number, since it uses less digits than its factorization.

221001210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113299 (or 113297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221001210012 its reverse (210012100122), we get a palindrome (431013310134).

It can be divided in two parts, 2 and 21001210012, that multiplied together give a palindrome (42002420024).

The spelling of 221001210012 in words is "two hundred twenty-one billion, one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 401 407 444 802 814 1203 1221 1604 1628 2406 2442 4411 4812 4884 8822 13233 14837 17644 26466 29674 44511 52932 59348 89022 112843 163207 178044 225686 326414 338529 451372 489621 652828 677058 979242 1241273 1354116 1958484 2482546 3723819 4175191 4965092 7447638 8350382 12525573 14895276 16700764 25051146 45250043 45927101 50102292 90500086 91854202 135750129 137781303 181000172 183708404 271500258 275562606 497750473 543000516 551125212 995500946 1493251419 1674251591 1991001892 2986502838 3348503182 5022754773 5973005676 6697006364 10045509546 18416767501 20091019092 36833535002 55250302503 73667070004 110500605006 221001210012