12120726400 has 192 divisors, whose sum is σ = 30985829280. Its totient is φ = 4681359360.

The previous prime is 12120726391. The next prime is 12120726463. The reversal of 12120726400 is 462702121.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 19772494 + ... + 19773106.

Almost surely, 2^12120726400 is an apocalyptic number.

12120726400 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 12120726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15492914640).

12120726400 is an abundant number, since it is smaller than the sum of its proper divisors (18865102880).

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

12120726400 is a wasteful number, since it uses less digits than its factorization.

12120726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 12120726400 in words is "twelve billion, one hundred twenty million, seven hundred twenty-six thousand, four hundred".