12154550400 has 288 divisors, whose sum is σ = 44024526000. Its totient is φ = 3192330240.

The previous prime is 12154550377. The next prime is 12154550407. The reversal of 12154550400 is 405545121.

12154550400 is a `hidden beast` number, since 1 + 2 + 154 + 5 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12154550400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12154550407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1926451 + ... + 1932749.

Almost surely, 2^12154550400 is an apocalyptic number.

12154550400 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 12154550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22012263000).

12154550400 is an abundant number, since it is smaller than the sum of its proper divisors (31869975600).

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

12154550400 is a wasteful number, since it uses less digits than its factorization.

12154550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 12154550400 in words is "twelve billion, one hundred fifty-four million, five hundred fifty thousand, four hundred".