12198906720 has 1728 divisors, whose sum is σ = 60563220480. Its totient is φ = 2264371200.

The previous prime is 12198906673. The next prime is 12198906757. The reversal of 12198906720 is 2760989121.

It is a super-3 number, since 3×12198906720³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 287 ways as a sum of consecutive naturals, for example, 393513105 + ... + 393513135.

It is an arithmetic number, because the mean of its divisors is an integer number (35048160).

Almost surely, 2^12198906720 is an apocalyptic number.

12198906720 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 12198906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30281610240).

12198906720 is an abundant number, since it is smaller than the sum of its proper divisors (48364313760).

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

12198906720 is a wasteful number, since it uses less digits than its factorization.

12198906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12198906720 in words is "twelve billion, one hundred ninety-eight million, nine hundred six thousand, seven hundred twenty".