12075631040 has 168 divisors, whose sum is σ = 32071464432. Its totient is φ = 4294942720.

The previous prime is 12075631027. The next prime is 12075631103. The reversal of 12075631040 is 4013657021.

It is a super-2 number, since 2×12075631040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12075630994 and 12075631012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7774904 + ... + 7776456.

It is an arithmetic number, because the mean of its divisors is an integer number (190901574).

Almost surely, 2^12075631040 is an apocalyptic number.

12075631040 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 12075631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035732216).

12075631040 is an abundant number, since it is smaller than the sum of its proper divisors (19995833392).

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

12075631040 is a wasteful number, since it uses less digits than its factorization.

12075631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 12075631040 in words is "twelve billion, seventy-five million, six hundred thirty-one thousand, forty".