12198019680 has 864 divisors, whose sum is σ = 53393401152. Its totient is φ = 2481684480.

The previous prime is 12198019661. The next prime is 12198019697. The reversal of 12198019680 is 8691089121.

It is a super-2 number, since 2×12198019680² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89036572 + ... + 89036708.

It is an arithmetic number, because the mean of its divisors is an integer number (61797918).

Almost surely, 2^12198019680 is an apocalyptic number.

12198019680 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 12198019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26696700576).

12198019680 is an abundant number, since it is smaller than the sum of its proper divisors (41195381472).

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

12198019680 is a wasteful number, since it uses less digits than its factorization.

12198019680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 12198019680 in words is "twelve billion, one hundred ninety-eight million, nineteen thousand, six hundred eighty".