2211153120000 has 2880 divisors, whose sum is σ = 9808060416000. Its totient is φ = 485222400000.

The previous prime is 2211153119977. The next prime is 2211153120041. The reversal of 2211153120000 is 213511122.

2211153120000 is a `hidden beast` number, since 2 + 2 + 111 + 531 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27989279961 + ... + 27989280039.

Almost surely, 2^{2211153120000} is an apocalyptic number.

2211153120000 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 2211153120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904030208000).

2211153120000 is an abundant number, since it is smaller than the sum of its proper divisors (7596907296000).

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

2211153120000 is a wasteful number, since it uses less digits than its factorization.

2211153120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 2211153120000 its reverse (213511122), we get a palindrome (2211366631122).

The spelling of 2211153120000 in words is "two trillion, two hundred eleven billion, one hundred fifty-three million, one hundred twenty thousand".