2122311312000 has 384 divisors, whose sum is σ = 8314643113920. Its totient is φ = 514499328000.

The previous prime is 2122311311969. The next prime is 2122311312019. The reversal of 2122311312000 is 2131132212.

2122311312000 is a `hidden beast` number, since 2 + 122 + 311 + 31 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2122311312000² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914079 + ... + 2253921.

Almost surely, 2^{2122311312000} is an apocalyptic number.

2122311312000 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 2122311312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157321556960).

2122311312000 is an abundant number, since it is smaller than the sum of its proper divisors (6192331801920).

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

2122311312000 is a wasteful number, since it uses less digits than its factorization.

2122311312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339889 (or 1339864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2122311312000 its reverse (2131132212), we get a palindrome (2124442444212).

The spelling of 2122311312000 in words is "two trillion, one hundred twenty-two billion, three hundred eleven million, three hundred twelve thousand".