1202014080 has 384 divisors, whose sum is σ = 4410806400. Its totient is φ = 312698880.

The previous prime is 1202014061. The next prime is 1202014123. The reversal of 1202014080 is 804102021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9175615 + ... + 9175745.

It is an arithmetic number, because the mean of its divisors is an integer number (11486475).

Almost surely, 2^1202014080 is an apocalyptic number.

1202014080 is a gapful number since it is divisible by the number (10) 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 1202014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205403200).

1202014080 is an abundant number, since it is smaller than the sum of its proper divisors (3208792320).

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

1202014080 is an equidigital number, since it uses as much as digits as its factorization.

1202014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1202014080 is about 34670.0747042749. The cubic root of 1202014080 is about 1063.2527589246.

The spelling of 1202014080 in words is "one billion, two hundred two million, fourteen thousand, eighty".