12035278080 has 1080 divisors, whose sum is σ = 52780920192. Its totient is φ = 2605768704.

The previous prime is 12035278067. The next prime is 12035278093. The reversal of 12035278080 is 8087253021.

12035278080 is a `hidden beast` number, since 120 + 3 + 527 + 8 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12035278067) and next prime (12035278093).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116847309 + ... + 116847411.

Almost surely, 2^12035278080 is an apocalyptic number.

12035278080 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 12035278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26390460096).

12035278080 is an abundant number, since it is smaller than the sum of its proper divisors (40745642112).

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

12035278080 is a wasteful number, since it uses less digits than its factorization.

12035278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12035278080 in words is "twelve billion, thirty-five million, two hundred seventy-eight thousand, eighty".