2111122200000 has 672 divisors, whose sum is σ = 7694183540736. Its totient is φ = 506560000000.

The previous prime is 2111122199983. The next prime is 2111122200001. The reversal of 2111122200000 is 22211112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111122200001) 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, 666598417 + ... + 666601583.

It is an arithmetic number, because the mean of its divisors is an integer number (11449677888).

Almost surely, 2^{2111122200000} is an apocalyptic number.

2111122200000 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 2111122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847091770368).

2111122200000 is an abundant number, since it is smaller than the sum of its proper divisors (5583061340736).

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

2111122200000 is a wasteful number, since it uses less digits than its factorization.

2111122200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2111122200000 its reverse (22211112), we get a palindrome (2111144411112).

It can be divided in two parts, 21111 and 22200000, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 2111122200000 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred thousand".