1201950792 has 384 divisors, whose sum is σ = 4213440000. Its totient is φ = 315487872.

The previous prime is 1201950769. The next prime is 1201950797. The reversal of 1201950792 is 2970591021.

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 (1201950797) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8647059 + ... + 8647197.

It is an arithmetic number, because the mean of its divisors is an integer number (10972500).

Almost surely, 2^1201950792 is an apocalyptic number.

1201950792 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 1201950792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106720000).

1201950792 is an abundant number, since it is smaller than the sum of its proper divisors (3011489208).

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

1201950792 is a wasteful number, since it uses less digits than its factorization.

1201950792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1201950792 is about 34669.1619742964. The cubic root of 1201950792 is about 1063.2340979337.

The spelling of 1201950792 in words is "one billion, two hundred one million, nine hundred fifty thousand, seven hundred ninety-two".