2122332212000 has 1536 divisors, whose sum is σ = 7283983988736. Its totient is φ = 586579968000.

The previous prime is 2122332211999. The next prime is 2122332212009. The reversal of 2122332212000 is 2122332212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2122332212009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15491475932 + ... + 15491476068.

It is an arithmetic number, because the mean of its divisors is an integer number (4742177076).

Almost surely, 2^{2122332212000} is an apocalyptic number.

2122332212000 is a gapful number since it is divisible by the number (20) 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 2122332212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641991994368).

2122332212000 is an abundant number, since it is smaller than the sum of its proper divisors (5161651776736).

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

2122332212000 is a wasteful number, since it uses less digits than its factorization.

2122332212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2122332212000 its reverse (2122332212), we get a palindrome (2124454544212).

2122332212000 divided by its reverse (2122332212) gives a cube (1000 = 10³).

It can be divided in two parts, 2122332 and 212000, that added together give a palindrome (2334332).

The spelling of 2122332212000 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-two million, two hundred twelve thousand".