2121231222000 has 240 divisors, whose sum is σ = 8082277388640. Its totient is φ = 514237824000.

The previous prime is 2121231221999. The next prime is 2121231222001. The reversal of 2121231222000 is 2221321212.

2121231222000 is a `hidden beast` number, since 212 + 1 + 231 + 2 + 220 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2121231221999) and next prime (2121231222001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2121231222000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121231222001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5158645 + ... + 5554644.

It is an arithmetic number, because the mean of its divisors is an integer number (33676155786).

Almost surely, 2^{2121231222000} is an apocalyptic number.

2121231222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121231222000 is an abundant number, since it is smaller than the sum of its proper divisors (5961046166640).

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

2121231222000 is a wasteful number, since it uses less digits than its factorization.

2121231222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10713329 (or 10713310 counting only the distinct ones).

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

Adding to 2121231222000 its reverse (2221321212), we get a palindrome (2123452543212).

The spelling of 2121231222000 in words is "two trillion, one hundred twenty-one billion, two hundred thirty-one million, two hundred twenty-two thousand".