12000022002000 has 480 divisors, whose sum is σ = 42628487316480. Its totient is φ = 3145512268800.

The previous prime is 12000022001999. The next prime is 12000022002041. The reversal of 12000022002000 is 20022000021.

12000022002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577663614 + ... + 577684386.

It is an arithmetic number, because the mean of its divisors is an integer number (88809348576).

Almost surely, 2^{12000022002000} is an apocalyptic number.

12000022002000 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 12000022002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21314243658240).

12000022002000 is an abundant number, since it is smaller than the sum of its proper divisors (30628465314480).

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

12000022002000 is a wasteful number, since it uses less digits than its factorization.

12000022002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21348 (or 21329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12000022002000 its reverse (20022000021), we get a palindrome (12020044002021).

The spelling of 12000022002000 in words is "twelve trillion, twenty-two million, two thousand".