12001869000 has 576 divisors, whose sum is σ = 45443099520. Its totient is φ = 2854368000.

The previous prime is 12001868929. The next prime is 12001869001. The reversal of 12001869000 is 96810021.

12001869000 = 330³ + 331³ + ... + 494³.

It is a super-2 number, since 2×12001869000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12001869001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112166947 + ... + 112167053.

It is an arithmetic number, because the mean of its divisors is an integer number (78894270).

Almost surely, 2^12001869000 is an apocalyptic number.

12001869000 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 12001869000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22721549760).

12001869000 is an abundant number, since it is smaller than the sum of its proper divisors (33441230520).

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

12001869000 is a wasteful number, since it uses less digits than its factorization.

12001869000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12001869000 in words is "twelve billion, one million, eight hundred sixty-nine thousand".