12097121400 has 1152 divisors, whose sum is σ = 55246464000. Its totient is φ = 2312893440.

The previous prime is 12097121389. The next prime is 12097121429. The reversal of 12097121400 is 412179021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 525961789 + ... + 525961811.

It is an arithmetic number, because the mean of its divisors is an integer number (47957000).

Almost surely, 2^12097121400 is an apocalyptic number.

12097121400 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 12097121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623232000).

12097121400 is an abundant number, since it is smaller than the sum of its proper divisors (43149342600).

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

12097121400 is a wasteful number, since it uses less digits than its factorization.

12097121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 12097121400 in words is "twelve billion, ninety-seven million, one hundred twenty-one thousand, four hundred".