12141094028400 has 240 divisors, whose sum is σ = 43239762165600. Its totient is φ = 3235642583040.

The previous prime is 12141094028383. The next prime is 12141094028461. The reversal of 12141094028400 is 482049014121.

12141094028400 is a `hidden beast` number, since 1 + 2 + 141 + 0 + 94 + 0 + 28 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17336236 + ... + 18022964.

It is an arithmetic number, because the mean of its divisors is an integer number (180165675690).

Almost surely, 2^{12141094028400} is an apocalyptic number.

12141094028400 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 12141094028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21619881082800).

12141094028400 is an abundant number, since it is smaller than the sum of its proper divisors (31098668137200).

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

12141094028400 is a wasteful number, since it uses less digits than its factorization.

12141094028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688393 (or 688376 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12141094028400 in words is "twelve trillion, one hundred forty-one billion, ninety-four million, twenty-eight thousand, four hundred".