Search a number
-
+
122101010010012 = 223113359927530809
BaseRepresentation
bin11011110000110011011011…
…010101000000111110011100
3121000022202001022210001102110
4123300303123111000332130
5112001000332030310022
61111404232444554020
734501335565462305
oct3360633325007634
9530282038701373
10122101010010012
11359a5824a90610
121183bbb1252910
1353190ca803c27
142221a12b757ac
15e1b1da37a00c
hex6f0cdb540f9c

122101010010012 has 48 divisors (see below), whose sum is σ = 310811832576000. Its totient is φ = 36999203487360.

The previous prime is 122101010009999. The next prime is 122101010010071. The reversal of 122101010010012 is 210010010101221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122101010010012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9330337 + ... + 18200472.

It is an arithmetic number, because the mean of its divisors is an integer number (6475246512000).

Almost surely, 2122101010010012 is an apocalyptic number.

122101010010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122101010010012 is an abundant number, since it is smaller than the sum of its proper divisors (188710822565988).

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

122101010010012 is a wasteful number, since it uses less digits than its factorization.

122101010010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27564426 (or 27564424 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122101010010012 its reverse (210010010101221), we get a palindrome (332111020111233).

The spelling of 122101010010012 in words is "one hundred twenty-two trillion, one hundred one billion, ten million, ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 33599 67198 100797 134396 201594 369589 403188 739178 1108767 1478356 2217534 4435068 27530809 55061618 82592427 110123236 165184854 302838899 330369708 605677798 908516697 1211355596 1817033394 3634066788 925007651591 1850015303182 2775022954773 3700030606364 5550045909546 10175084167501 11100091819092 20350168335002 30525252502503 40700336670004 61050505005006 122101010010012