Search a number
-
+
122010212210200 = 2352691788195903
BaseRepresentation
bin11011101111011110110111…
…010110111001011000011000
3121000000001200110200220200221
4123233132313112321120120
5111443003403311211300
61111254415005005424
734461642541064626
oct3357366726713030
9530001613626627
10122010212210200
1135970270aa1736
1211826491253874
13531068a61c372
14221b47bd22516
15e18b73e5d31a
hex6ef7b75b9618

122010212210200 has 48 divisors (see below), whose sum is σ = 283714757700480. Its totient is φ = 48797028658560.

The previous prime is 122010212210153. The next prime is 122010212210207. The reversal of 122010212210200 is 2012212010221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010212210207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42714552 + ... + 45481351.

It is an arithmetic number, because the mean of its divisors is an integer number (5910724118760).

Almost surely, 2122010212210200 is an apocalyptic number.

122010212210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010212210200 is an abundant number, since it is smaller than the sum of its proper divisors (161704545490280).

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

122010212210200 is a wasteful number, since it uses less digits than its factorization.

122010212210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88202836 (or 88202827 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122010212210200 its reverse (2012212010221), we get a palindrome (124022424220421).

The spelling of 122010212210200 in words is "one hundred twenty-two trillion, ten billion, two hundred twelve million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 6917 13834 27668 34585 55336 69170 138340 172925 276680 345850 691700 1383400 88195903 176391806 352783612 440979515 705567224 881959030 1763918060 2204897575 3527836120 4409795150 8819590300 17639180600 610051061051 1220102122102 2440204244204 3050255305255 4880408488408 6100510610510 12201021221020 15251276526275 24402042442040 30502553052550 61005106105100 122010212210200