13121001223200 has 864 divisors, whose sum is σ = 50627749116672. Its totient is φ = 3178275840000.

The previous prime is 13121001223151. The next prime is 13121001223277. The reversal of 13121001223200 is 232210012131.

13121001223200 is a `hidden beast` number, since 1 + 31 + 210 + 0 + 1 + 223 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1578747045 + ... + 1578755355.

It is an arithmetic number, because the mean of its divisors is an integer number (58596931848).

Almost surely, 2^{13121001223200} is an apocalyptic number.

13121001223200 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 13121001223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25313874558336).

13121001223200 is an abundant number, since it is smaller than the sum of its proper divisors (37506747893472).

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

13121001223200 is a wasteful number, since it uses less digits than its factorization.

13121001223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618 (or 8602 counting only the distinct ones).

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

Adding to 13121001223200 its reverse (232210012131), we get a palindrome (13353211235331).

The spelling of 13121001223200 in words is "thirteen trillion, one hundred twenty-one billion, one million, two hundred twenty-three thousand, two hundred".