12127290000 has 800 divisors, whose sum is σ = 49088286720. Its totient is φ = 2515968000.

The previous prime is 12127289981. The next prime is 12127290011. The reversal of 12127290000 is 9272121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 153509961 + ... + 153510039.

Almost surely, 2^12127290000 is an apocalyptic number.

12127290000 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 12127290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24544143360).

12127290000 is an abundant number, since it is smaller than the sum of its proper divisors (36960996720).

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

12127290000 is a wasteful number, since it uses less digits than its factorization.

12127290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 12127290000 in words is "twelve billion, one hundred twenty-seven million, two hundred ninety thousand".