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212121222412 = 2211234322321859
BaseRepresentation
bin1100010110001101101…
…0001111110100001100
3202021112002111120201211
43011203122033310030
511433411013104122
6241240325544204
721216363432601
oct3054332176414
9667462446654
10212121222412
1181a61999a90
123513ab75064
1317006618128
14a3a3c566a8
1557b768c877
hex316368fd0c

212121222412 has 96 divisors (see below), whose sum is σ = 434351554560. Its totient is φ = 89673756480.

The previous prime is 212121222377. The next prime is 212121222461. The reversal of 212121222412 is 214222121212.

212121222412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121212224122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9693139 + ... + 9714997.

It is an arithmetic number, because the mean of its divisors is an integer number (4524495360).

Almost surely, 2212121222412 is an apocalyptic number.

212121222412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212121222412 is an abundant number, since it is smaller than the sum of its proper divisors (222230332148).

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

212121222412 is a wasteful number, since it uses less digits than its factorization.

212121222412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22163 (or 22161 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

Adding to 212121222412 its reverse (214222121212), we get a palindrome (426343343624).

The spelling of 212121222412 in words is "two hundred twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 4 11 22 23 43 44 46 86 92 172 223 253 446 473 506 892 946 989 1012 1892 1978 2453 3956 4906 5129 9589 9812 10258 10879 19178 20516 21758 21859 38356 43516 43718 56419 87436 105479 112838 210958 220547 225676 240449 421916 441094 480898 502757 882188 939937 961796 1005514 1879874 2011028 2426017 3759748 4852034 4874557 5530327 9704068 9749114 10339307 11060654 19498228 20678614 21618551 22121308 41357228 43237102 53620127 86474204 107240254 112114811 209605951 214480508 224229622 237804061 419211902 448459244 475608122 838423804 951216244 1233262921 2305665461 2466525842 4611330922 4820936873 4933051684 9222661844 9641873746 19283747492 53030305603 106060611206 212121222412