2228167141200 has 2160 divisors, whose sum is σ = 11125866024000. Its totient is φ = 404799897600.

The previous prime is 2228167141159. The next prime is 2228167141201. The reversal of 2228167141200 is 21417618222.

2228167141200 is a `hidden beast` number, since 2 + 228 + 16 + 7 + 1 + 412 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228167141201) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 479276476 + ... + 479281124.

It is an arithmetic number, because the mean of its divisors is an integer number (5150863900).

Almost surely, 2^{2228167141200} is an apocalyptic number.

2228167141200 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 2228167141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562933012000).

2228167141200 is an abundant number, since it is smaller than the sum of its proper divisors (8897698882800).

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

2228167141200 is a wasteful number, since it uses less digits than its factorization.

2228167141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 2228167141200 in words is "two trillion, two hundred twenty-eight billion, one hundred sixty-seven million, one hundred forty-one thousand, two hundred".