12014034120400 has 240 divisors, whose sum is σ = 31293194607360. Its totient is φ = 4406130432000.

The previous prime is 12014034120379. The next prime is 12014034120419. The reversal of 12014034120400 is 402143041021.

It is a happy number.

It is a super-2 number, since 2×12014034120400² (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 47 ways as a sum of consecutive naturals, for example, 1992704586 + ... + 1992710614.

It is an arithmetic number, because the mean of its divisors is an integer number (130388310864).

Almost surely, 2^{12014034120400} is an apocalyptic number.

12014034120400 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 12014034120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646597303680).

12014034120400 is an abundant number, since it is smaller than the sum of its proper divisors (19279160486960).

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

12014034120400 is a wasteful number, since it uses less digits than its factorization.

12014034120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8574 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12014034120400 its reverse (402143041021), we get a palindrome (12416177161421).

The spelling of 12014034120400 in words is "twelve trillion, fourteen billion, thirty-four million, one hundred twenty thousand, four hundred".