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1201323200 = 26527311199
BaseRepresentation
bin100011110011010…
…1011110011000000
310002201111112121212
41013212223303000
54430014320300
6315112305252
741525036000
oct10746536300
93081445555
101201323200
1156712a9a0
122963a2228
13161b6883c
14b5796000
15706ec935
hex479abcc0

1201323200 has 336 divisors, whose sum is σ = 3779520000. Its totient is φ = 372556800.

The previous prime is 1201323197. The next prime is 1201323257. The reversal of 1201323200 is 23231021.

It is a happy number.

It is a super-5 number, since 5×12013232005 (a number of 47 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6036701 + ... + 6036899.

Almost surely, 21201323200 is an apocalyptic number.

1201323200 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 1201323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889760000).

1201323200 is an abundant number, since it is smaller than the sum of its proper divisors (2578196800).

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

1201323200 is a wasteful number, since it uses less digits than its factorization.

1201323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1201323200 is about 34660.1096362952. The cubic root of 1201323200 is about 1063.0490117692.

Adding to 1201323200 its reverse (23231021), we get a palindrome (1224554221).

The spelling of 1201323200 in words is "one billion, two hundred one million, three hundred twenty-three thousand, two hundred".