12007401120000 has 5400 divisors, whose sum is σ = 57546240308480. Its totient is φ = 2463436800000.

The previous prime is 12007401119947. The next prime is 12007401120017. The reversal of 12007401120000 is 2110470021.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 387335519985 + ... + 387335520015.

Almost surely, 2^{12007401120000} is an apocalyptic number.

12007401120000 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 12007401120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28773120154240).

12007401120000 is an abundant number, since it is smaller than the sum of its proper divisors (45538839188480).

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

12007401120000 is a wasteful number, since it uses less digits than its factorization.

12007401120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 12007401120000 its reverse (2110470021), we get a palindrome (12009511590021).

The spelling of 12007401120000 in words is "twelve trillion, seven billion, four hundred one million, one hundred twenty thousand".