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120221311212 = 223317101648317
BaseRepresentation
bin110111111110110111…
…1111010000011101100
3102111022102121101102000
41233331233322003230
53432203123424322
6131121235532300
711454124166412
oct1577557720354
9374272541360
10120221311212
1146a92883552
121b371a5a090
13b44bcc3852
145b668b52b2
1531d961e3ac
hex1bfdbfa0ec

120221311212 has 96 divisors (see below), whose sum is σ = 333287317440. Its totient is φ = 37343001600.

The previous prime is 120221311193. The next prime is 120221311261. The reversal of 120221311212 is 212113122021.

120221311212 is a `hidden beast` number, since 120 + 2 + 21 + 311 + 212 = 666.

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 31 ways as a sum of consecutive naturals, for example, 138723 + ... + 509594.

It is an arithmetic number, because the mean of its divisors is an integer number (3471742890).

Almost surely, 2120221311212 is an apocalyptic number.

120221311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120221311212 is an abundant number, since it is smaller than the sum of its proper divisors (213066006228).

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

120221311212 is a wasteful number, since it uses less digits than its factorization.

120221311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648448 (or 648440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120221311212 its reverse (212113122021), we get a palindrome (332334433233).

The spelling of 120221311212 in words is "one hundred twenty billion, two hundred twenty-one million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 101 102 108 153 202 204 303 306 404 459 606 612 909 918 1212 1717 1818 1836 2727 3434 3636 5151 5454 6868 10302 10908 15453 20604 30906 46359 61812 92718 185436 648317 1296634 1944951 2593268 3889902 5834853 7779804 11021389 11669706 17504559 22042778 23339412 33064167 35009118 44085556 65480017 66128334 70018236 99192501 130960034 132256668 196440051 198385002 261920068 297577503 392880102 396770004 589320153 595155006 785760204 1113160289 1178640306 1190310012 1767960459 2226320578 2357280612 3339480867 3535920918 4452641156 6678961734 7071841836 10018442601 13357923468 20036885202 30055327803 40073770404 60110655606 120221311212