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1120121200 = 245211223143
BaseRepresentation
bin100001011000011…
…1011000101110000
32220001201001102101
41002300323011300
54243222334300
6303052030144
736520605322
oct10260730560
92801631371
101120121200
11525308700
12273162354
1314b0a7313
14a8a99612
156850cb6a
hex42c3b170

1120121200 has 90 divisors (see below), whose sum is σ = 2958104072. Its totient is φ = 407299200.

The previous prime is 1120121173. The next prime is 1120121203. The reversal of 1120121200 is 21210211.

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 (1120121203) 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 17 ways as a sum of consecutive naturals, for example, 36829 + ... + 59971.

Almost surely, 21120121200 is an apocalyptic number.

1120121200 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 1120121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479052036).

1120121200 is an abundant number, since it is smaller than the sum of its proper divisors (1837982872).

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

1120121200 is a wasteful number, since it uses less digits than its factorization.

1120121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23183 (or 23161 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1120121200 is about 33468.2117837210. The cubic root of 1120121200 is about 1038.5362791551.

Adding to 1120121200 its reverse (21210211), we get a palindrome (1141331411).

The spelling of 1120121200 in words is "one billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 23143 24200 46286 48400 92572 115715 185144 231430 254573 370288 462860 509146 578575 925720 1018292 1157150 1272865 1851440 2036584 2314300 2545730 2800303 4073168 4628600 5091460 5600606 6364325 9257200 10182920 11201212 12728650 14001515 20365840 22402424 25457300 28003030 44804848 50914600 56006060 70007575 101829200 112012120 140015150 224024240 280030300 560060600 1120121200