1199891952 has 480 divisors, whose sum is σ = 4357816320. Its totient is φ = 300464640.

The previous prime is 1199891951. The next prime is 1199891989. The reversal of 1199891952 is 2591989911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1199891951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25529593 + ... + 25529639.

It is an arithmetic number, because the mean of its divisors is an integer number (9078784).

Almost surely, 2^1199891952 is an apocalyptic number.

1199891952 is a gapful number since it is divisible by the number (12) 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 1199891952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178908160).

1199891952 is an abundant number, since it is smaller than the sum of its proper divisors (3157924368).

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

1199891952 is a wasteful number, since it uses less digits than its factorization.

1199891952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its digits is 524880, while the sum is 54.

The square root of 1199891952 is about 34639.4565777236. The cubic root of 1199891952 is about 1062.6266742995.

The spelling of 1199891952 in words is "one billion, one hundred ninety-nine million, eight hundred ninety-one thousand, nine hundred fifty-two".