Search a number
-
+
12200211220200 = 2335260659335213
BaseRepresentation
bin1011000110001001010101…
…0000011000011011101000
31121012022212200210212221020
42301202111100120123220
53044342013033021300
641540411043212440
72366302415214603
oct261422520303350
947168780725836
1012200211220200
1139840981a1953
121450596077120
136a66236c4113
143026c9b6333a
1516254ebb88a0
hexb18954186e8

12200211220200 has 96 divisors (see below), whose sum is σ = 37821391106400. Its totient is φ = 3253326319360.

The previous prime is 12200211220189. The next prime is 12200211220201. The reversal of 12200211220200 is 202211200221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12200211220200.

It is not an unprimeable number, because it can be changed into a prime (12200211220201) 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, 36227794 + ... + 36563006.

It is an arithmetic number, because the mean of its divisors is an integer number (393972824025).

Almost surely, 212200211220200 is an apocalyptic number.

12200211220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200211220200 is an abundant number, since it is smaller than the sum of its proper divisors (25621179886200).

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

12200211220200 is a wasteful number, since it uses less digits than its factorization.

12200211220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395891 (or 395882 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12200211220200 its reverse (202211200221), we get a palindrome (12402422420421).

The spelling of 12200211220200 in words is "twelve trillion, two hundred billion, two hundred eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 60659 121318 181977 242636 303295 335213 363954 485272 606590 670426 727908 909885 1005639 1213180 1340852 1455816 1516475 1676065 1819770 2011278 2426360 2681704 3032950 3352130 3639540 4022556 4549425 5028195 6065900 6704260 7279080 8045112 8380325 9098850 10056390 12131800 13408520 16760650 18197700 20112780 25140975 33521300 36395400 40225560 50281950 67042600 100563900 201127800 20333685367 40667370734 61001056101 81334741468 101668426835 122002112202 162669482936 203336853670 244004224404 305005280505 406673707340 488008448808 508342134175 610010561010 813347414680 1016684268350 1220021122020 1525026402525 2033368536700 2440042244040 3050052805050 4066737073400 6100105610100 12200211220200