12902127840 has 1152 divisors, whose sum is σ = 57741465600. Its totient is φ = 2554675200.

The previous prime is 12902127829. The next prime is 12902127841. The reversal of 12902127840 is 4872120921.

It is a super-3 number, since 3×12902127840³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12902127795 and 12902127804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12902127841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127743790 + ... + 127743890.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 2^12902127840 is an apocalyptic number.

12902127840 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 12902127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28870732800).

12902127840 is an abundant number, since it is smaller than the sum of its proper divisors (44839337760).

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

12902127840 is a wasteful number, since it uses less digits than its factorization.

12902127840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12902127840 in words is "twelve billion, nine hundred two million, one hundred twenty-seven thousand, eight hundred forty".