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1201173120 = 273257313
BaseRepresentation
bin100011110011000…
…0111001010000000
310002201012220202100
41013212013022000
54430000014440
6315105150400
741523542310
oct10746071200
93081186670
101201173120
11567038164
1229632b400
13161b15434
14b5757440
15706bd230
hex47987280

1201173120 has 384 divisors, whose sum is σ = 4898350080. Its totient is φ = 265697280.

The previous prime is 1201173107. The next prime is 1201173173. The reversal of 1201173120 is 213711021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201173093 and 1201173102.

It is a congruent number.

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, 38747505 + ... + 38747535.

It is an arithmetic number, because the mean of its divisors is an integer number (12756120).

Almost surely, 21201173120 is an apocalyptic number.

1201173120 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 1201173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449175040).

1201173120 is an abundant number, since it is smaller than the sum of its proper divisors (3697176960).

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

1201173120 is an frugal number, since it uses more digits than its factorization.

1201173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1201173120 is about 34657.9445437839. The cubic root of 1201173120 is about 1063.0047414069.

Adding to 1201173120 its reverse (213711021), we get a palindrome (1414884141).

The spelling of 1201173120 in words is "one billion, two hundred one million, one hundred seventy-three thousand, one hundred twenty".