113334001220400 has 240 divisors, whose sum is σ = 375880376892960. Its totient is φ = 29155778355200.

The previous prime is 113334001220383. The next prime is 113334001220411. The reversal of 113334001220400 is 4022100433311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 40151470 + ... + 42881330.

It is an arithmetic number, because the mean of its divisors is an integer number (1566168237054).

Almost surely, 2^{113334001220400} is an apocalyptic number.

113334001220400 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 113334001220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187940188446480).

113334001220400 is an abundant number, since it is smaller than the sum of its proper divisors (262546375672560).

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

113334001220400 is a wasteful number, since it uses less digits than its factorization.

113334001220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731104 (or 2731093 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113334001220400 its reverse (4022100433311), we get a palindrome (117356101653711).

The spelling of 113334001220400 in words is "one hundred thirteen trillion, three hundred thirty-four billion, one million, two hundred twenty thousand, four hundred".