12014288000 has 512 divisors, whose sum is σ = 36088416000. Its totient is φ = 3919872000.

The previous prime is 12014287979. The next prime is 12014288017. The reversal of 12014288000 is 88241021.

It is a super-2 number, since 2×12014288000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134991956 + ... + 134992044.

Almost surely, 2^12014288000 is an apocalyptic number.

12014288000 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 12014288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044208000).

12014288000 is an abundant number, since it is smaller than the sum of its proper divisors (24074128000).

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

12014288000 is a wasteful number, since it uses less digits than its factorization.

12014288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 12014288000 in words is "twelve billion, fourteen million, two hundred eighty-eight thousand".