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1121200022200 = 235253787134401
BaseRepresentation
bin10000010100001100101…
…110101010001010111000
310222012000100122110222011
4100110030232222022320
5121332204201202300
62215023331335304
7144001244641306
oct20241456521270
93865010573864
101121200022200
113a25532014a5
12161367751534
1381961c844cb
143c3a2cc7276
151e271c5deba
hex1050cbaa2b8

1121200022200 has 96 divisors (see below), whose sum is σ = 2659369365360. Its totient is φ = 439455744000.

The previous prime is 1121200022183. The next prime is 1121200022209. The reversal of 1121200022200 is 22200021211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121200022209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8275000 + ... + 8409400.

Almost surely, 21121200022200 is an apocalyptic number.

1121200022200 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 1121200022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329684682680).

1121200022200 is an abundant number, since it is smaller than the sum of its proper divisors (1538169343160).

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

1121200022200 is a wasteful number, since it uses less digits than its factorization.

1121200022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135257 (or 135248 counting only the distinct ones).

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

Adding to 1121200022200 its reverse (22200021211), we get a palindrome (1143400043411).

The spelling of 1121200022200 in words is "one trillion, one hundred twenty-one billion, two hundred million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 787 1060 1325 1574 2120 2650 3148 3935 5300 6296 7870 10600 15740 19675 31480 39350 41711 78700 83422 134401 157400 166844 208555 268802 333688 417110 537604 672005 834220 1042775 1075208 1344010 1668440 2085550 2688020 3360025 4171100 5376040 6720050 7123253 8342200 13440100 14246506 26880200 28493012 35616265 56986024 71232530 105773587 142465060 178081325 211547174 284930120 356162650 423094348 528867935 712325300 846188696 1057735870 1424650600 2115471740 2644339675 4230943480 5288679350 5606000111 10577358700 11212000222 21154717400 22424000444 28030000555 44848000888 56060001110 112120002220 140150002775 224240004440 280300005550 560600011100 1121200022200