12101044340400 has 120 divisors (see below), whose sum is σ = 38785377618624. Its totient is φ = 3225138796800.

The previous prime is 12101044340351. The next prime is 12101044340471. The reversal of 12101044340400 is 404344010121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677146 + ... + 4965945.

Almost surely, 2^{12101044340400} is an apocalyptic number.

12101044340400 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 12101044340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392688809312).

12101044340400 is an abundant number, since it is smaller than the sum of its proper divisors (26684333278224).

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

12101044340400 is a wasteful number, since it uses less digits than its factorization.

12101044340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644899 (or 5644888 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12101044340400 its reverse (404344010121), we get a palindrome (12505388350521).

The spelling of 12101044340400 in words is "twelve trillion, one hundred one billion, forty-four million, three hundred forty thousand, four hundred".