12498948000 has 1152 divisors, whose sum is σ = 57696178176. Its totient is φ = 2581632000.

The previous prime is 12498947999. The next prime is 12498948019. The reversal of 12498948000 is 84989421.

It is a super-2 number, since 2×12498948000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74843917 + ... + 74844083.

It is an arithmetic number, because the mean of its divisors is an integer number (50083488).

Almost surely, 2^12498948000 is an apocalyptic number.

12498948000 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 12498948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28848089088).

12498948000 is an abundant number, since it is smaller than the sum of its proper divisors (45197230176).

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

12498948000 is a wasteful number, since it uses less digits than its factorization.

12498948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12498948000 in words is "twelve billion, four hundred ninety-eight million, nine hundred forty-eight thousand".