12412254400000 has 960 divisors, whose sum is σ = 38459269449216. Its totient is φ = 3896709120000.

The previous prime is 12412254399991. The next prime is 12412254400019. The reversal of 12412254400000 is 445221421.

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 95 ways as a sum of consecutive naturals, for example, 23732799739 + ... + 23732800261.

Almost surely, 2^{12412254400000} is an apocalyptic number.

12412254400000 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 12412254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19229634724608).

12412254400000 is an abundant number, since it is smaller than the sum of its proper divisors (26047015049216).

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

12412254400000 is an frugal number, since it uses more digits than its factorization.

12412254400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12412254400000 its reverse (445221421), we get a palindrome (12412699621421).

The spelling of 12412254400000 in words is "twelve trillion, four hundred twelve billion, two hundred fifty-four million, four hundred thousand".