12073568102400 has 576 divisors, whose sum is σ = 45642678681600. Its totient is φ = 2758025871360.

The previous prime is 12073568102399. The next prime is 12073568102419. The reversal of 12073568102400 is 420186537021.

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, 3594391921 + ... + 3594395279.

It is an arithmetic number, because the mean of its divisors is an integer number (79240761600).

Almost surely, 2^{12073568102400} is an apocalyptic number.

12073568102400 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 12073568102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821339340800).

12073568102400 is an abundant number, since it is smaller than the sum of its proper divisors (33569110579200).

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

12073568102400 is a wasteful number, since it uses less digits than its factorization.

12073568102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 12073568102400 in words is "twelve trillion, seventy-three billion, five hundred sixty-eight million, one hundred two thousand, four hundred".