22220212212000 has 576 divisors, whose sum is σ = 88353736668288. Its totient is φ = 5241127680000.

The previous prime is 22220212211999. The next prime is 22220212212001. The reversal of 22220212212000 is 21221202222.

22220212212000 is a `hidden beast` number, since 2 + 2 + 220 + 21 + 221 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22220212211999) and next prime (22220212212001).

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

It is not an unprimeable number, because it can be changed into a prime (22220212212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13893735 + ... + 15410265.

It is an arithmetic number, because the mean of its divisors is an integer number (153391903938).

Almost surely, 2^{22220212212000} is an apocalyptic number.

22220212212000 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 22220212212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44176868334144).

22220212212000 is an abundant number, since it is smaller than the sum of its proper divisors (66133524456288).

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

22220212212000 is a wasteful number, since it uses less digits than its factorization.

22220212212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516610 (or 1516589 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22220212212000 its reverse (21221202222), we get a palindrome (22241433414222).

It can be divided in two parts, 22 and 220212212000, that added together give a palindrome (220212212022).

The spelling of 22220212212000 in words is "twenty-two trillion, two hundred twenty billion, two hundred twelve million, two hundred twelve thousand".