1201017600 has 324 divisors, whose sum is σ = 4448152800. Its totient is φ = 308797440.

The previous prime is 1201017599. The next prime is 1201017613. The reversal of 1201017600 is 67101021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1670041 + ... + 1670759.

Almost surely, 2^1201017600 is an apocalyptic number.

1201017600 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 1201017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224076400).

1201017600 is an abundant number, since it is smaller than the sum of its proper divisors (3247135200).

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

1201017600 is a wasteful number, since it uses less digits than its factorization.

1201017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 758 counting only the distinct ones).

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

The square root of 1201017600 is about 34655.7008297336. The cubic root of 1201017600 is about 1062.9588624713.

Adding to 1201017600 its reverse (67101021), we get a palindrome (1268118621).

The spelling of 1201017600 in words is "one billion, two hundred one million, seventeen thousand, six hundred".