2121132222000 has 480 divisors, whose sum is σ = 8507277642240. Its totient is φ = 487149120000.

The previous prime is 2121132221959. The next prime is 2121132222007. The reversal of 2121132222000 is 2222311212.

2121132222000 is a `hidden beast` number, since 2 + 121 + 1 + 322 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2121132222007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3480085 + ... + 4043915.

It is an arithmetic number, because the mean of its divisors is an integer number (17723495088).

Almost surely, 2^{2121132222000} is an apocalyptic number.

2121132222000 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 2121132222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253638821120).

2121132222000 is an abundant number, since it is smaller than the sum of its proper divisors (6386145420240).

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

2121132222000 is a wasteful number, since it uses less digits than its factorization.

2121132222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563890 (or 563871 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2121132222000 its reverse (2222311212), we get a palindrome (2123354533212).

The spelling of 2121132222000 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred twenty-two thousand".