1201288608 has 144 divisors (see below), whose sum is σ = 3692052000. Its totient is φ = 368312832.

The previous prime is 1201288607. The next prime is 1201288681. The reversal of 1201288608 is 8068821021.

1201288608 is a `hidden beast` number, since 1 + 20 + 1 + 28 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1201288601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1867935 + ... + 1868577.

It is an arithmetic number, because the mean of its divisors is an integer number (25639250).

Almost surely, 2^1201288608 is an apocalyptic number.

1201288608 is a gapful number since it is divisible by the number (18) 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 1201288608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846026000).

1201288608 is an abundant number, since it is smaller than the sum of its proper divisors (2490763392).

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

1201288608 is a wasteful number, since it uses less digits than its factorization.

1201288608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1201288608 is about 34659.6106152392. The cubic root of 1201288608 is about 1063.0388082024.

The spelling of 1201288608 in words is "one billion, two hundred one million, two hundred eighty-eight thousand, six hundred eight".