Search a number
-
+
122020110012200 = 23524114880501221
BaseRepresentation
bin11011101111101000000101…
…010100000000111100101000
3121000001000020021011100112012
4123233220011110000330220
5111443134141130342300
61111303133101135052
734462443035031341
oct3357500524007450
9530030207140465
10122020110012200
1135974490053894
1211828393b5a488
1353115a70a673a
14221bb3a6810c8
15e19052d80435
hex6efa05500f28

122020110012200 has 48 divisors (see below), whose sum is σ = 290616188865660. Its totient is φ = 47617603904000.

The previous prime is 122020110012181. The next prime is 122020110012293. The reversal of 122020110012200 is 2210011020221.

It can be written as a sum of positive squares in 6 ways, for example, as 18441819827236 + 103578290184964 = 4294394^2 + 10177342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7440242411 + ... + 7440258810.

Almost surely, 2122020110012200 is an apocalyptic number.

122020110012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020110012200 is an abundant number, since it is smaller than the sum of its proper divisors (168596078853460).

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

122020110012200 is a wasteful number, since it uses less digits than its factorization.

122020110012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14880501278 (or 14880501269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122020110012200 its reverse (2210011020221), we get a palindrome (124230121032421).

The spelling of 122020110012200 in words is "one hundred twenty-two trillion, twenty billion, one hundred ten million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 14880501221 29761002442 59522004884 74402506105 119044009768 148805012210 297610024420 372012530525 595220048840 610100550061 744025061050 1220201100122 1488050122100 2440402200244 2976100244200 3050502750305 4880804400488 6101005500610 12202011001220 15252513751525 24404022002440 30505027503050 61010055006100 122020110012200