12054192716400 has 480 divisors, whose sum is σ = 42105380083200. Its totient is φ = 2937592627200.

The previous prime is 12054192716369. The next prime is 12054192716459. The reversal of 12054192716400 is 461729145021.

It is a super-2 number, since 2×12054192716400² (a number of 27 digits) contains 22 as substring.

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, 83124757 + ... + 83269643.

It is an arithmetic number, because the mean of its divisors is an integer number (87719541840).

Almost surely, 2^{12054192716400} is an apocalyptic number.

12054192716400 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 12054192716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21052690041600).

12054192716400 is an abundant number, since it is smaller than the sum of its proper divisors (30051187366800).

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

12054192716400 is a wasteful number, since it uses less digits than its factorization.

12054192716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145057 (or 145046 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 12054192716400 in words is "twelve trillion, fifty-four billion, one hundred ninety-two million, seven hundred sixteen thousand, four hundred".