23320121001120 has 288 divisors, whose sum is σ = 81529432652304. Its totient is φ = 6067652198400.

The previous prime is 23320121001113. The next prime is 23320121001137. The reversal of 23320121001120 is 2110012102332.

23320121001120 is a `hidden beast` number, since 2 + 332 + 0 + 1 + 210 + 0 + 1 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7189326789264 + 16130794211856 = 2681292^2 + 4016316^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 23320121001093 and 23320121001102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12969840 + ... + 14658000.

Almost surely, 2^{23320121001120} is an apocalyptic number.

23320121001120 is a gapful number since it is divisible by the number (20) 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 23320121001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40764716326152).

23320121001120 is an abundant number, since it is smaller than the sum of its proper divisors (58209311651184).

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

23320121001120 is a wasteful number, since it uses less digits than its factorization.

23320121001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688416 (or 1688405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23320121001120 its reverse (2110012102332), we get a palindrome (25430133103452).

The spelling of 23320121001120 in words is "twenty-three trillion, three hundred twenty billion, one hundred twenty-one million, one thousand, one hundred twenty".