12190950400 has 132 divisors (see below), whose sum is σ = 31262725620. Its totient is φ = 4707942400.

The previous prime is 12190950389. The next prime is 12190950403. The reversal of 12190950400 is 405909121.

It can be written as a sum of positive squares in 6 ways, for example, as 2527273984 + 9663676416 = 50272^2 + 98304^2 .

It is not an unprimeable number, because it can be changed into a prime (12190950403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734190 + ... + 750610.

Almost surely, 2^12190950400 is an apocalyptic number.

12190950400 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 12190950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15631362810).

12190950400 is an abundant number, since it is smaller than the sum of its proper divisors (19071775220).

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

12190950400 is a wasteful number, since it uses less digits than its factorization.

12190950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16480 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 12190950400 in words is "twelve billion, one hundred ninety million, nine hundred fifty thousand, four hundred".