12074400000 has 864 divisors, whose sum is σ = 49180602240. Its totient is φ = 2903040000.

The previous prime is 12074399989. The next prime is 12074400011. The reversal of 12074400000 is 447021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12074399989) and next prime (12074400011).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×12074400000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280799979 + ... + 280800021.

Almost surely, 2^12074400000 is an apocalyptic number.

12074400000 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 12074400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24590301120).

12074400000 is an abundant number, since it is smaller than the sum of its proper divisors (37106202240).

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

12074400000 is an frugal number, since it uses more digits than its factorization.

12074400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 12074400000 its reverse (447021), we get a palindrome (12074847021).

The spelling of 12074400000 in words is "twelve billion, seventy-four million, four hundred thousand".