12199572000 has 1152 divisors, whose sum is σ = 56322459648. Its totient is φ = 2519424000.

The previous prime is 12199571999. The next prime is 12199572001. The reversal of 12199572000 is 27599121.

It is an interprime number because it is at equal distance from previous prime (12199571999) and next prime (12199572001).

It is a super-3 number, since 3×12199572000³ (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 not an unprimeable number, because it can be changed into a prime (12199572001) 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, 74843919 + ... + 74844081.

It is an arithmetic number, because the mean of its divisors is an integer number (48891024).

Almost surely, 2^12199572000 is an apocalyptic number.

12199572000 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 12199572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28161229824).

12199572000 is an abundant number, since it is smaller than the sum of its proper divisors (44122887648).

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

12199572000 is a wasteful number, since it uses less digits than its factorization.

12199572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 12199572000 in words is "twelve billion, one hundred ninety-nine million, five hundred seventy-two thousand".