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1211010212200 = 235213746195873
BaseRepresentation
bin10001100111110101110…
…101010110000101101000
311021202211101100211201111
4101213311311112011220
5124320122103242300
62324155211400104
7153330650651035
oct21476565260550
94252741324644
101211010212200
1142764a76a518
12176850a53034
138a275679679
14428828d638c
152177b5e59ba
hex119f5d56168

1211010212200 has 96 divisors (see below), whose sum is σ = 2842332375960. Its totient is φ = 479820185600.

The previous prime is 1211010212119. The next prime is 1211010212239. The reversal of 1211010212200 is 22120101121.

It can be written as a sum of positive squares in 12 ways, for example, as 77964925284 + 1133045286916 = 279222^2 + 1064446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12583464 + ... + 12679336.

Almost surely, 21211010212200 is an apocalyptic number.

1211010212200 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 1211010212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421166187980).

1211010212200 is an abundant number, since it is smaller than the sum of its proper divisors (1631322163760).

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

1211010212200 is a wasteful number, since it uses less digits than its factorization.

1211010212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96487 (or 96478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1211010212200 its reverse (22120101121), we get a palindrome (1233130313321).

The spelling of 1211010212200 in words is "one trillion, two hundred eleven billion, ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 461 548 685 922 1096 1370 1844 2305 2740 3425 3688 4610 5480 6850 9220 11525 13700 18440 23050 27400 46100 63157 92200 95873 126314 191746 252628 315785 383492 479365 505256 631570 766984 958730 1263140 1578925 1917460 2396825 2526280 3157850 3834920 4793650 6315700 9587300 12631400 13134601 19174600 26269202 44197453 52538404 65673005 88394906 105076808 131346010 176789812 220987265 262692020 328365025 353579624 441974530 525384040 656730050 883949060 1104936325 1313460100 1767898120 2209872650 2626920200 4419745300 6055051061 8839490600 12110102122 24220204244 30275255305 48440408488 60550510610 121101021220 151376276525 242202042440 302752553050 605505106100 1211010212200