13121222400 has 1296 divisors, whose sum is σ = 58122529920. Its totient is φ = 2886451200.

The previous prime is 13121222381. The next prime is 13121222419. The reversal of 13121222400 is 422212131.

It is a happy number.

13121222400 is a `hidden beast` number, since 1 + 31 + 212 + 22 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (13121222381) and next prime (13121222419).

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

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, 222393571 + ... + 222393629.

Almost surely, 2^13121222400 is an apocalyptic number.

13121222400 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 13121222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29061264960).

13121222400 is an abundant number, since it is smaller than the sum of its proper divisors (45001307520).

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

13121222400 is a wasteful number, since it uses less digits than its factorization.

13121222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13121222400 its reverse (422212131), we get a palindrome (13543434531).

The spelling of 13121222400 in words is "thirteen billion, one hundred twenty-one million, two hundred twenty-two thousand, four hundred".