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1321201200 = 2435211101991
BaseRepresentation
bin100111010111111…
…1110111000110000
310102002001222022210
41032233332320300
510201211414300
6335033532120
744512011354
oct11657767060
93362058283
101321201200
11618869020
1230a574040
1318094c077
14c767d464
157aecc050
hex4ebfee30

1321201200 has 240 divisors, whose sum is σ = 4667415552. Its totient is φ = 316800000.

The previous prime is 1321201199. The next prime is 1321201229. The reversal of 1321201200 is 21021231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13212012002 = 3491145221762880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1332705 + ... + 1333695.

Almost surely, 21321201200 is an apocalyptic number.

1321201200 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 1321201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333707776).

1321201200 is an abundant number, since it is smaller than the sum of its proper divisors (3346214352).

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

1321201200 is a wasteful number, since it uses less digits than its factorization.

1321201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1321201200 is about 36348.3314610176. The cubic root of 1321201200 is about 1097.2939545357.

Adding to 1321201200 its reverse (21021231), we get a palindrome (1342222431).

The spelling of 1321201200 in words is "one billion, three hundred twenty-one million, two hundred one thousand, two hundred".