12898116000 has 1440 divisors, whose sum is σ = 60734209536. Its totient is φ = 2623104000.

The previous prime is 12898115977. The next prime is 12898116017. The reversal of 12898116000 is 61189821.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×12898116000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 274427977 + ... + 274428023.

Almost surely, 2^12898116000 is an apocalyptic number.

12898116000 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 12898116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30367104768).

12898116000 is an abundant number, since it is smaller than the sum of its proper divisors (47836093536).

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

12898116000 is a wasteful number, since it uses less digits than its factorization.

12898116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 12898116000 in words is "twelve billion, eight hundred ninety-eight million, one hundred sixteen thousand".