12126914400 has 288 divisors, whose sum is σ = 40679646336. Its totient is φ = 3136000000.

The previous prime is 12126914357. The next prime is 12126914411. The reversal of 12126914400 is 441962121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24698155 + ... + 24698645.

It is an arithmetic number, because the mean of its divisors is an integer number (141248772).

Almost surely, 2^12126914400 is an apocalyptic number.

12126914400 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 12126914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339823168).

12126914400 is an abundant number, since it is smaller than the sum of its proper divisors (28552731936).

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

12126914400 is a wasteful number, since it uses less digits than its factorization.

12126914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12126914400 in words is "twelve billion, one hundred twenty-six million, nine hundred fourteen thousand, four hundred".