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221122212012 = 22341374370657
BaseRepresentation
bin1100110111101111101…
…0010011000010101100
3210010202101110020020000
43031323322103002230
512110324241241022
6245325424224300
721655420535022
oct3157372230254
9703671406200
10221122212012
11858607a6769
1236a3146b090
1317b0c353990
14a9b9448712
155b429b26ac
hex337be930ac

221122212012 has 120 divisors (see below), whose sum is σ = 623369747616. Its totient is φ = 67945070592.

The previous prime is 221122211987. The next prime is 221122212049. The reversal of 221122212012 is 210212221122.

It is a happy number.

It is a super-3 number, since 3×2211222120123 (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3094188 + ... + 3164844.

Almost surely, 2221122212012 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 221122212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311684873808).

221122212012 is an abundant number, since it is smaller than the sum of its proper divisors (402247535604).

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

221122212012 is a wasteful number, since it uses less digits than its factorization.

221122212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71429 (or 71418 counting only the distinct ones).

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

Adding to 221122212012 its reverse (210212221122), we get a palindrome (431334433134).

The spelling of 221122212012 in words is "two hundred twenty-one billion, one hundred twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 743 1053 1404 1486 2106 2229 2972 4212 4458 6687 8916 9659 13374 19318 20061 26748 28977 38636 40122 57954 60183 70657 80244 86931 115908 120366 141314 173862 211971 240732 260793 282628 347724 423942 521586 635913 782379 847884 918541 1043172 1271826 1564758 1837082 1907739 2543652 2755623 3129516 3674164 3815478 5511246 5723217 7630956 8266869 11022492 11446434 16533738 22892868 24800607 33067476 49601214 52498151 74401821 99202428 104996302 148803642 157494453 209992604 297607284 314988906 472483359 629977812 682475963 944966718 1364951926 1417450077 1889933436 2047427889 2729903852 2834900154 4094855778 4252350231 5669800308 6142283667 8189711556 8504700462 12284567334 17009400924 18426851001 24569134668 36853702002 55280553003 73707404004 110561106006 221122212012