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212022221112 = 2333135910112671
BaseRepresentation
bin1100010101110110000…
…0100101100100111000
3202021021012012210111000
43011131200211210320
511433210142033422
6241222432005000
721214052100222
oct3053540454470
9667235183430
10212022221112
1181a1101a929
1235111990760
1316cbbc64090
14a394a45412
1557adb33cac
hex315d825938

212022221112 has 256 divisors, whose sum is σ = 651442176000. Its totient is φ = 63491904000.

The previous prime is 212022221041. The next prime is 212022221119. The reversal of 212022221112 is 211122220212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022221119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16726537 + ... + 16739207.

It is an arithmetic number, because the mean of its divisors is an integer number (2544696000).

Almost surely, 2212022221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325721088000).

212022221112 is an abundant number, since it is smaller than the sum of its proper divisors (439419954888).

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

212022221112 is a wasteful number, since it uses less digits than its factorization.

212022221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12859 (or 12849 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212022221112 its reverse (211122220212), we get a palindrome (423144441324).

The spelling of 212022221112 in words is "two hundred twelve billion, twenty-two million, two hundred twenty-one thousand, one hundred twelve".