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1201010111200 = 255217136764601
BaseRepresentation
bin10001011110100001110…
…001111111001011100000
311020211000110102002001101
4101132201301333023200
5124134132042024300
62315423022444144
7152525102335444
oct21364161771340
94224013362041
101201010111200
11423388996639
1217491ba33654
1389340955243
14421b4748824
1521393717b6a
hex117a1c7f2e0

1201010111200 has 144 divisors (see below), whose sum is σ = 3106753592544. Its totient is φ = 451807232000.

The previous prime is 1201010111153. The next prime is 1201010111201. The reversal of 1201010111200 is 21110101021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201010111201) 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, 18558900 + ... + 18623500.

It is an arithmetic number, because the mean of its divisors is an integer number (21574677726).

Almost surely, 21201010111200 is an apocalyptic number.

1201010111200 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 1201010111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553376796272).

1201010111200 is an abundant number, since it is smaller than the sum of its proper divisors (1905743481344).

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

1201010111200 is a wasteful number, since it uses less digits than its factorization.

1201010111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66005 (or 65992 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1201010111200 its reverse (21110101021), we get a palindrome (1222120212221).

The spelling of 1201010111200 in words is "one trillion, two hundred one billion, ten million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1367 1700 2720 2734 3400 5468 6800 6835 10936 13600 13670 21872 23239 27340 34175 43744 46478 54680 64601 68350 92956 109360 116195 129202 136700 185912 218720 232390 258404 273400 323005 371824 464780 516808 546800 580975 646010 743648 929560 1033616 1093600 1098217 1161950 1292020 1615025 1859120 2067232 2196434 2323900 2584040 3230050 3718240 4392868 4647800 5168080 5491085 6460100 8785736 9295600 10336160 10982170 12920200 17571472 18591200 21964340 25840400 27455425 35142944 43928680 51680800 54910850 87857360 88309567 109821700 175714720 176619134 219643400 353238268 439286800 441547835 706476536 878573600 883095670 1412953072 1501262639 1766191340 2207739175 2825906144 3002525278 3532382680 4415478350 6005050556 7064765360 7506313195 8830956700 12010101112 14129530720 15012626390 17661913400 24020202224 30025252780 35323826800 37531565975 48040404448 60050505560 70647653600 75063131950 120101011120 150126263900 240202022240 300252527800 600505055600 1201010111200