1201948492032 has 180 divisors, whose sum is σ = 3594648813756. Its totient is φ = 399458304000.

The previous prime is 1201948492021. The next prime is 1201948492033. The reversal of 1201948492032 is 2302948491021.

1201948492032 is a `hidden beast` number, since 120 + 1 + 9 + 4 + 8 + 492 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 408965366016 + 792983126016 = 639504^2 + 890496^2 .

It is not an unprimeable number, because it can be changed into a prime (1201948492033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6902032 + ... + 7074032.

Almost surely, 2^{1201948492032} is an apocalyptic number.

1201948492032 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 1201948492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797324406878).

1201948492032 is an abundant number, since it is smaller than the sum of its proper divisors (2392700321724).

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

1201948492032 is an equidigital number, since it uses as much as digits as its factorization.

1201948492032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172366 (or 172343 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1201948492032 in words is "one trillion, two hundred one billion, nine hundred forty-eight million, four hundred ninety-two thousand, thirty-two".