12010022312000 has 224 divisors, whose sum is σ = 30399368598144. Its totient is φ = 4699111680000.

The previous prime is 12010022311993. The next prime is 12010022312009. The reversal of 12010022312000 is 21322001021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12010022312009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66974459 + ... + 67153541.

It is an arithmetic number, because the mean of its divisors is an integer number (135711466956).

Almost surely, 2^{12010022312000} is an apocalyptic number.

12010022312000 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 12010022312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15199684299072).

12010022312000 is an abundant number, since it is smaller than the sum of its proper divisors (18389346286144).

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

12010022312000 is a wasteful number, since it uses less digits than its factorization.

12010022312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179294 (or 179274 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12010022312000 its reverse (21322001021), we get a palindrome (12031344313021).

The spelling of 12010022312000 in words is "twelve trillion, ten billion, twenty-two million, three hundred twelve thousand".