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1221134200 = 2352111342697
BaseRepresentation
bin100100011001001…
…0000011101111000
310011002210001012121
41020302100131320
510000102243300
6321101051024
742155320006
oct11062203570
93132701177
101221134200
11577331220
122a0b56a74
13165cb3c20
14b8271a76
157231281a
hex48c90778

1221134200 has 96 divisors (see below), whose sum is σ = 3335567760. Its totient is φ = 409881600.

The previous prime is 1221134197. The next prime is 1221134207. The reversal of 1221134200 is 24311221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221134207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7252 + ... + 49948.

Almost surely, 21221134200 is an apocalyptic number.

1221134200 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 1221134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667783880).

1221134200 is an abundant number, since it is smaller than the sum of its proper divisors (2114433560).

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

1221134200 is a wasteful number, since it uses less digits than its factorization.

1221134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42737 (or 42728 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1221134200 is about 34944.7306471233. The cubic root of 1221134200 is about 1068.8607550257.

Adding to 1221134200 its reverse (24311221), we get a palindrome (1245445421).

The spelling of 1221134200 in words is "one billion, two hundred twenty-one million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1100 1144 1300 1430 2200 2600 2860 3575 5720 7150 14300 28600 42697 85394 170788 213485 341576 426970 469667 555061 853940 939334 1067425 1110122 1707880 1878668 2134850 2220244 2348335 2775305 3757336 4269700 4440488 4696670 5550610 6105671 8539400 9393340 11101220 11741675 12211342 13876525 18786680 22202440 23483350 24422684 27753050 30528355 46966700 48845368 55506100 61056710 93933400 111012200 122113420 152641775 244226840 305283550 610567100 1221134200