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12221012020212 = 223210165314273607
BaseRepresentation
bin1011000111010110110100…
…0101001000101111110100
31121021022120100012000021200
42301311231011020233310
53100212113034121322
641554131100412500
72400640033126452
oct261655505105764
947238510160250
1012221012020212
1139919a1758866
121454620247130
136a8589c71ac8
143037005419d2
15162d6adb88ac
hexb1d6d148bf4

12221012020212 has 144 divisors (see below), whose sum is σ = 31276204831872. Its totient is φ = 4023222854400.

The previous prime is 12221012020171. The next prime is 12221012020223. The reversal of 12221012020212 is 21202021012221.

It is a happy number.

12221012020212 is a `hidden beast` number, since 122 + 210 + 120 + 2 + 0 + 212 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3388135713 + ... + 3388139319.

It is an arithmetic number, because the mean of its divisors is an integer number (217195866888).

Almost surely, 212221012020212 is an apocalyptic number.

12221012020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221012020212 is an abundant number, since it is smaller than the sum of its proper divisors (19055192811660).

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

12221012020212 is a wasteful number, since it uses less digits than its factorization.

12221012020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5793 counting only the distinct ones).

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

Adding to 12221012020212 its reverse (21202021012221), we get a palindrome (33423033032433).

The spelling of 12221012020212 in words is "twelve trillion, two hundred twenty-one billion, twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 653 909 1212 1306 1427 1818 1959 2612 2854 3607 3636 3918 4281 5708 5877 7214 7836 8562 10821 11754 12843 14428 17124 21642 23508 25686 32463 43284 51372 64926 65953 129852 131906 144127 197859 263812 288254 364307 395718 432381 576508 593577 728614 791436 864762 931831 1092921 1187154 1297143 1457228 1729524 1863662 2185842 2355371 2374308 2594286 2795493 3278763 3727324 4371684 4710742 5147189 5188572 5590986 6557526 7066113 8386479 9421484 10294378 11181972 13115052 14132226 15441567 16772958 20588756 21198339 28264452 30883134 33545916 42396678 46324701 61766268 84793356 92649402 94114931 185298804 188229862 237892471 282344793 376459724 475784942 519866089 564689586 713677413 847034379 951569884 1039732178 1129379172 1427354826 1559598267 1694068758 2079464356 2141032239 2854709652 3119196534 3361114417 3388137516 4282064478 4678794801 6238393068 6722228834 8564128956 9357589602 10083343251 13444457668 18715179204 20166686502 30250029753 40333373004 60500059506 121000119012 339472556117 678945112234 1018417668351 1357890224468 2036835336702 3055253005053 4073670673404 6110506010106 12221012020212