222002011200000 has 960 divisors, whose sum is σ = 781716336952320. Its totient is φ = 55891968000000.

The previous prime is 222002011199999. The next prime is 222002011200001. The reversal of 222002011200000 is 2110200222.

It is an interprime number because it is at equal distance from previous prime (222002011199999) and next prime (222002011200001).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (222002011200001) 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, 6100781806 + ... + 6100818194.

It is an arithmetic number, because the mean of its divisors is an integer number (814287850992).

Almost surely, 2^{222002011200000} is an apocalyptic number.

222002011200000 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 222002011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390858168476160).

222002011200000 is an abundant number, since it is smaller than the sum of its proper divisors (559714325752320).

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

222002011200000 is an frugal number, since it uses more digits than its factorization.

222002011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36507 (or 36471 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222002011200000 its reverse (2110200222), we get a palindrome (222004121400222).

The spelling of 222002011200000 in words is "two hundred twenty-two trillion, two billion, eleven million, two hundred thousand".