23302223120400 has 480 divisors, whose sum is σ = 86561939014656. Its totient is φ = 5248454400000.

The previous prime is 23302223120359. The next prime is 23302223120437. The reversal of 23302223120400 is 402132220332.

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

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 95 ways as a sum of consecutive naturals, for example, 178947315 + ... + 179077485.

Almost surely, 2^{23302223120400} is an apocalyptic number.

23302223120400 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 23302223120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43280969507328).

23302223120400 is an abundant number, since it is smaller than the sum of its proper divisors (63259715894256).

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

23302223120400 is a wasteful number, since it uses less digits than its factorization.

23302223120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130511 (or 130500 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23302223120400 its reverse (402132220332), we get a palindrome (23704355340732).

The spelling of 23302223120400 in words is "twenty-three trillion, three hundred two billion, two hundred twenty-three million, one hundred twenty thousand, four hundred".