12028961040 has 160 divisors (see below), whose sum is σ = 39473723520. Its totient is φ = 3025010688.

The previous prime is 12028961029. The next prime is 12028961071. The reversal of 12028961040 is 4016982021.

It is a junction number, because it is equal to n+sod(n) for n = 12028960992 and 12028961010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279184 + ... + 319376.

It is an arithmetic number, because the mean of its divisors is an integer number (246710772).

Almost surely, 2^12028961040 is an apocalyptic number.

12028961040 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 12028961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736861760).

12028961040 is an abundant number, since it is smaller than the sum of its proper divisors (27444762480).

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

12028961040 is a wasteful number, since it uses less digits than its factorization.

12028961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40281 (or 40275 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 12028961040 in words is "twelve billion, twenty-eight million, nine hundred sixty-one thousand, forty".