2122221112000 has 896 divisors, whose sum is σ = 6439629081600. Its totient is φ = 682795008000.

The previous prime is 2122221111979. The next prime is 2122221112001. The reversal of 2122221112000 is 2111222212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2122221112001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5599527811 + ... + 5599528189.

Almost surely, 2^{2122221112000} is an apocalyptic number.

2122221112000 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 2122221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219814540800).

2122221112000 is an abundant number, since it is smaller than the sum of its proper divisors (4317407969600).

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

2122221112000 is a wasteful number, since it uses less digits than its factorization.

2122221112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122221112000 its reverse (2111222212), we get a palindrome (2124332334212).

The spelling of 2122221112000 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twelve thousand".