113223332001120 has 384 divisors, whose sum is σ = 400342634431488. Its totient is φ = 26663549952000.

The previous prime is 113223332000971. The next prime is 113223332001121. The reversal of 113223332001120 is 21100233322311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113223332001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26260869 + ... + 30266811.

It is an arithmetic number, because the mean of its divisors is an integer number (1042558943832).

Almost surely, 2^{113223332001120} is an apocalyptic number.

113223332001120 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 113223332001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200171317215744).

113223332001120 is an abundant number, since it is smaller than the sum of its proper divisors (287119302430368).

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

113223332001120 is a wasteful number, since it uses less digits than its factorization.

113223332001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006126 (or 4006118 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113223332001120 its reverse (21100233322311), we get a palindrome (134323565323431).

The spelling of 113223332001120 in words is "one hundred thirteen trillion, two hundred twenty-three billion, three hundred thirty-two million, one thousand, one hundred twenty".