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1220200121200 = 245271331129803
BaseRepresentation
bin10001110000011001100…
…110000100001101110000
311022122112211210120220111
4101300121212010031300
5124442432212334300
62332315135151104
7154104460620454
oct21603146041560
94278484716814
101220200121200
11430536181135
12178596675494
138b0ab58cb48
14430b5224664
1521b182d69ba
hex11c19984370

1220200121200 has 120 divisors (see below), whose sum is σ = 2981824258176. Its totient is φ = 479748192000.

The previous prime is 1220200121177. The next prime is 1220200121207. The reversal of 1220200121200 is 21210020221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220200121207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9335499 + ... + 9465301.

Almost surely, 21220200121200 is an apocalyptic number.

1220200121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220200121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490912129088).

1220200121200 is an abundant number, since it is smaller than the sum of its proper divisors (1761624136976).

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

1220200121200 is a wasteful number, since it uses less digits than its factorization.

1220200121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130223 (or 130212 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1220200121200 its reverse (21210020221), we get a palindrome (1241410141421).

The spelling of 1220200121200 in words is "one trillion, two hundred twenty billion, two hundred million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 331 355 400 568 662 710 1136 1324 1420 1655 1775 2648 2840 3310 3550 5296 5680 6620 7100 8275 13240 14200 16550 23501 26480 28400 33100 47002 66200 94004 117505 129803 132400 188008 235010 259606 376016 470020 519212 587525 649015 940040 1038424 1175050 1298030 1880080 2076848 2350100 2596060 3245075 4700200 5192120 6490150 9216013 9400400 10384240 12980300 18432026 25960600 36864052 42964793 46080065 51921200 73728104 85929586 92160130 147456208 171859172 184320260 214823965 230400325 343718344 368640520 429647930 460800650 687436688 737281040 859295860 921601300 1074119825 1718591720 1843202600 2148239650 3050500303 3437183440 3686405200 4296479300 6101000606 8592958600 12202001212 15252501515 17185917200 24404002424 30505003030 48808004848 61010006060 76262507575 122020012120 152525015150 244040024240 305050030300 610100060600 1220200121200