12035172780 has 576 divisors, whose sum is σ = 42831839232. Its totient is φ = 2821754880.

The previous prime is 12035172769. The next prime is 12035172833. The reversal of 12035172780 is 8727153021.

12035172780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 94765077 + ... + 94765203.

It is an arithmetic number, because the mean of its divisors is an integer number (74360832).

Almost surely, 2^12035172780 is an apocalyptic number.

12035172780 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 12035172780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415919616).

12035172780 is an abundant number, since it is smaller than the sum of its proper divisors (30796666452).

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

12035172780 is a wasteful number, since it uses less digits than its factorization.

12035172780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

It can be divided in two parts, 120351 and 72780, that added together give a triangular number (193131 = T₆₂₁).

The spelling of 12035172780 in words is "twelve billion, thirty-five million, one hundred seventy-two thousand, seven hundred eighty".