12302121400 has 96 divisors (see below), whose sum is σ = 30342924000. Its totient is φ = 4622520320.

The previous prime is 12302121397. The next prime is 12302121409. The reversal of 12302121400 is 412120321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302121409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1931421 + ... + 1937779.

It is an arithmetic number, because the mean of its divisors is an integer number (316072125).

Almost surely, 2^12302121400 is an apocalyptic number.

12302121400 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 12302121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171462000).

12302121400 is an abundant number, since it is smaller than the sum of its proper divisors (18040802600).

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

12302121400 is a wasteful number, since it uses less digits than its factorization.

12302121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12302121400 its reverse (412120321), we get a palindrome (12714241721).

The spelling of 12302121400 in words is "twelve billion, three hundred two million, one hundred twenty-one thousand, four hundred".