12144522400 has 72 divisors (see below), whose sum is σ = 29738034144. Its totient is φ = 4843027200.

The previous prime is 12144522389. The next prime is 12144522409. The reversal of 12144522400 is 422544121.

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

It is not an unprimeable number, because it can be changed into a prime (12144522409) 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, 241869 + ... + 287731.

It is an arithmetic number, because the mean of its divisors is an integer number (413028252).

Almost surely, 2^12144522400 is an apocalyptic number.

12144522400 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 12144522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869017072).

12144522400 is an abundant number, since it is smaller than the sum of its proper divisors (17593511744).

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

12144522400 is a wasteful number, since it uses less digits than its factorization.

12144522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46214 (or 46201 counting only the distinct ones).

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

The spelling of 12144522400 in words is "twelve billion, one hundred forty-four million, five hundred twenty-two thousand, four hundred".