1201048368 has 320 divisors, whose sum is σ = 3824755200. Its totient is φ = 320716800.

The previous prime is 1201048367. The next prime is 1201048393. The reversal of 1201048368 is 8638401021.

It is not an unprimeable number, because it can be changed into a prime (1201048367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11891518 + ... + 11891618.

It is an arithmetic number, because the mean of its divisors is an integer number (11952360).

Almost surely, 2^1201048368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201048368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912377600).

1201048368 is an abundant number, since it is smaller than the sum of its proper divisors (2623706832).

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

1201048368 is a wasteful number, since it uses less digits than its factorization.

1201048368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1201048368 is about 34656.1447365399. The cubic root of 1201048368 is about 1062.9679394515.

Adding to 1201048368 its reverse (8638401021), we get a palindrome (9839449389).

It can be divided in two parts, 12010 and 48368, that added together give a triangular number (60378 = T₃₄₇).

The spelling of 1201048368 in words is "one billion, two hundred one million, forty-eight thousand, three hundred sixty-eight".