12888270000 has 300 divisors, whose sum is σ = 47450654680. Its totient is φ = 3255552000.

The previous prime is 12888269941. The next prime is 12888270023. The reversal of 12888270000 is 7288821.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×12888270000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1706232 + ... + 1713768.

Almost surely, 2^12888270000 is an apocalyptic number.

12888270000 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 12888270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23725327340).

12888270000 is an abundant number, since it is smaller than the sum of its proper divisors (34562384680).

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

12888270000 is a wasteful number, since it uses less digits than its factorization.

12888270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12888270000 in words is "twelve billion, eight hundred eighty-eight million, two hundred seventy thousand".